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Finding the Fourth Proportional to 284,114.26, 392,066.22 and 156,788.20

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Solution

The fourth proportional to 284,114.26, 392,066.22 and 156,788.20 is: 216,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,114.26 : 392,066.22 = 156,788.20 : x
  2. Step 2: Convert to fraction form
    284,114.26/392,066.22 = 156,788.20/x
  3. Step 3: Cross multiply
    284,114.26x = 392,066.22 × 156,788.20
  4. Step 4: Simplify right side
    284,114.26x = 61,471,356,914.60
  5. Step 5: Solve for x
    x = 61,471,356,914.60/284,114.26
  6. Step 6: Final answer
    x = 216,361.39

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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.