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Finding the Fourth Proportional to 110,434.50, 152,397.90 and 65,114.37

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Solution

The fourth proportional to 110,434.50, 152,397.90 and 65,114.37 is: 89,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,434.50 : 152,397.90 = 65,114.37 : x
  2. Step 2: Convert to fraction form
    110,434.50/152,397.90 = 65,114.37/x
  3. Step 3: Cross multiply
    110,434.50x = 152,397.90 × 65,114.37
  4. Step 4: Simplify right side
    110,434.50x = 9,923,293,247.82
  5. Step 5: Solve for x
    x = 9,923,293,247.82/110,434.50
  6. Step 6: Final answer
    x = 89,856.82

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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.