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Finding the Fourth Proportional to 110,449, 152,434.02 and 65,737

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Solution

The fourth proportional to 110,449, 152,434.02 and 65,737 is: 90,725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,449 : 152,434.02 = 65,737 : x
  2. Step 2: Convert to fraction form
    110,449/152,434.02 = 65,737/x
  3. Step 3: Cross multiply
    110,449x = 152,434.02 × 65,737
  4. Step 4: Simplify right side
    110,449x = 10,020,555,172.74
  5. Step 5: Solve for x
    x = 10,020,555,172.74/110,449
  6. Step 6: Final answer
    x = 90,725.63

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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.