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Finding the Fourth Proportional to 102,614.70, 153,938.25 and 43,450.74

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Solution

The fourth proportional to 102,614.70, 153,938.25 and 43,450.74 is: 65,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,614.70 : 153,938.25 = 43,450.74 : x
  2. Step 2: Convert to fraction form
    102,614.70/153,938.25 = 43,450.74/x
  3. Step 3: Cross multiply
    102,614.70x = 153,938.25 × 43,450.74
  4. Step 4: Simplify right side
    102,614.70x = 6,688,730,876.81
  5. Step 5: Solve for x
    x = 6,688,730,876.81/102,614.70
  6. Step 6: Final answer
    x = 65,182.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.