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Finding the Fourth Proportional to 105,456, 145,524.61 and 57,711.36

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Solution

The fourth proportional to 105,456, 145,524.61 and 57,711.36 is: 79,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,456 : 145,524.61 = 57,711.36 : x
  2. Step 2: Convert to fraction form
    105,456/145,524.61 = 57,711.36/x
  3. Step 3: Cross multiply
    105,456x = 145,524.61 × 57,711.36
  4. Step 4: Simplify right side
    105,456x = 8,398,423,156.57
  5. Step 5: Solve for x
    x = 8,398,423,156.57/105,456
  6. Step 6: Final answer
    x = 79,639.12

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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.