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Finding the Fourth Proportional to 284,231.32, 392,229 and 156,904.18

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Solution

The fourth proportional to 284,231.32, 392,229 and 156,904.18 is: 216,522.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,231.32 : 392,229 = 156,904.18 : x
  2. Step 2: Convert to fraction form
    284,231.32/392,229 = 156,904.18/x
  3. Step 3: Cross multiply
    284,231.32x = 392,229 × 156,904.18
  4. Step 4: Simplify right side
    284,231.32x = 61,542,369,617.22
  5. Step 5: Solve for x
    x = 61,542,369,617.22/284,231.32
  6. Step 6: Final answer
    x = 216,522.13

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