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Finding the Fourth Proportional to 214,210.37, 295,608.50 and 117,419.62

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Solution

The fourth proportional to 214,210.37, 295,608.50 and 117,419.62 is: 162,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,210.37 : 295,608.50 = 117,419.62 : x
  2. Step 2: Convert to fraction form
    214,210.37/295,608.50 = 117,419.62/x
  3. Step 3: Cross multiply
    214,210.37x = 295,608.50 × 117,419.62
  4. Step 4: Simplify right side
    214,210.37x = 34,710,237,738.77
  5. Step 5: Solve for x
    x = 34,710,237,738.77/214,210.37
  6. Step 6: Final answer
    x = 162,038.09

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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.