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Finding the Fourth Proportional to 214,491.77, 295,998.53 and 117,696.24

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Solution

The fourth proportional to 214,491.77, 295,998.53 and 117,696.24 is: 162,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,491.77 : 295,998.53 = 117,696.24 : x
  2. Step 2: Convert to fraction form
    214,491.77/295,998.53 = 117,696.24/x
  3. Step 3: Cross multiply
    214,491.77x = 295,998.53 × 117,696.24
  4. Step 4: Simplify right side
    214,491.77x = 34,837,913,438.05
  5. Step 5: Solve for x
    x = 34,837,913,438.05/214,491.77
  6. Step 6: Final answer
    x = 162,420.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.