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Finding the Fourth Proportional to 284,254.14, 392,268.33 and 156,927

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Solution

The fourth proportional to 284,254.14, 392,268.33 and 156,927 is: 216,557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,254.14 : 392,268.33 = 156,927 : x
  2. Step 2: Convert to fraction form
    284,254.14/392,268.33 = 156,927/x
  3. Step 3: Cross multiply
    284,254.14x = 392,268.33 × 156,927
  4. Step 4: Simplify right side
    284,254.14x = 61,557,492,221.91
  5. Step 5: Solve for x
    x = 61,557,492,221.91/284,254.14
  6. Step 6: Final answer
    x = 216,557.94

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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.