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Finding the Fourth Proportional to 284,068.96, 392,016.51 and 156,744.59

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Solution

The fourth proportional to 284,068.96, 392,016.51 and 156,744.59 is: 216,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,068.96 : 392,016.51 = 156,744.59 : x
  2. Step 2: Convert to fraction form
    284,068.96/392,016.51 = 156,744.59/x
  3. Step 3: Cross multiply
    284,068.96x = 392,016.51 × 156,744.59
  4. Step 4: Simplify right side
    284,068.96x = 61,446,465,173.10
  5. Step 5: Solve for x
    x = 61,446,465,173.10/284,068.96
  6. Step 6: Final answer
    x = 216,308.27

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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.