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Finding the Fourth Proportional to 110,356.38, 152,308.20 and 65,019.87

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Solution

The fourth proportional to 110,356.38, 152,308.20 and 65,019.87 is: 89,737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,356.38 : 152,308.20 = 65,019.87 : x
  2. Step 2: Convert to fraction form
    110,356.38/152,308.20 = 65,019.87/x
  3. Step 3: Cross multiply
    110,356.38x = 152,308.20 × 65,019.87
  4. Step 4: Simplify right side
    110,356.38x = 9,903,059,363.93
  5. Step 5: Solve for x
    x = 9,903,059,363.93/110,356.38
  6. Step 6: Final answer
    x = 89,737.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.