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Finding the Fourth Proportional to 102,502.80, 153,770.04 and 43,338.72

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Solution

The fourth proportional to 102,502.80, 153,770.04 and 43,338.72 is: 65,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,502.80 : 153,770.04 = 43,338.72 : x
  2. Step 2: Convert to fraction form
    102,502.80/153,770.04 = 43,338.72/x
  3. Step 3: Cross multiply
    102,502.80x = 153,770.04 × 43,338.72
  4. Step 4: Simplify right side
    102,502.80x = 6,664,196,707.95
  5. Step 5: Solve for x
    x = 6,664,196,707.95/102,502.80
  6. Step 6: Final answer
    x = 65,014.78

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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.