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Finding the Fourth Proportional to 261,368, 392,052 and 113,624

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Solution

The fourth proportional to 261,368, 392,052 and 113,624 is: 170,436

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,368 : 392,052 = 113,624 : x
  2. Step 2: Convert to fraction form
    261,368/392,052 = 113,624/x
  3. Step 3: Cross multiply
    261,368x = 392,052 × 113,624
  4. Step 4: Simplify right side
    261,368x = 44,546,516,448
  5. Step 5: Solve for x
    x = 44,546,516,448/261,368
  6. Step 6: Final answer
    x = 170,436

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.