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Finding the Fourth Proportional to 284,075.28, 392,025 and 156,754.56

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Solution

The fourth proportional to 284,075.28, 392,025 and 156,754.56 is: 216,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,075.28 : 392,025 = 156,754.56 : x
  2. Step 2: Convert to fraction form
    284,075.28/392,025 = 156,754.56/x
  3. Step 3: Cross multiply
    284,075.28x = 392,025 × 156,754.56
  4. Step 4: Simplify right side
    284,075.28x = 61,451,706,384
  5. Step 5: Solve for x
    x = 61,451,706,384/284,075.28
  6. Step 6: Final answer
    x = 216,321.91

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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.