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Finding the Fourth Proportional to 261,024, 391,536 and 113,280

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Solution

The fourth proportional to 261,024, 391,536 and 113,280 is: 169,920

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,024 : 391,536 = 113,280 : x
  2. Step 2: Convert to fraction form
    261,024/391,536 = 113,280/x
  3. Step 3: Cross multiply
    261,024x = 391,536 × 113,280
  4. Step 4: Simplify right side
    261,024x = 44,353,198,080
  5. Step 5: Solve for x
    x = 44,353,198,080/261,024
  6. Step 6: Final answer
    x = 169,920

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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.