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Finding the Fourth Proportional to 214,366.24, 295,832.46 and 118,882

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Solution

The fourth proportional to 214,366.24, 295,832.46 and 118,882 is: 164,061.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,366.24 : 295,832.46 = 118,882 : x
  2. Step 2: Convert to fraction form
    214,366.24/295,832.46 = 118,882/x
  3. Step 3: Cross multiply
    214,366.24x = 295,832.46 × 118,882
  4. Step 4: Simplify right side
    214,366.24x = 35,169,154,509.72
  5. Step 5: Solve for x
    x = 35,169,154,509.72/214,366.24
  6. Step 6: Final answer
    x = 164,061.07

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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.