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Finding the Fourth Proportional to 110,465.46, 152,462.10 and 65,140.70

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Solution

The fourth proportional to 110,465.46, 152,462.10 and 65,140.70 is: 89,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,465.46 : 152,462.10 = 65,140.70 : x
  2. Step 2: Convert to fraction form
    110,465.46/152,462.10 = 65,140.70/x
  3. Step 3: Cross multiply
    110,465.46x = 152,462.10 × 65,140.70
  4. Step 4: Simplify right side
    110,465.46x = 9,931,487,155.16
  5. Step 5: Solve for x
    x = 9,931,487,155.16/110,465.46
  6. Step 6: Final answer
    x = 89,905.81

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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.