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Finding the Fourth Proportional to 102,574.26, 153,744.75 and 43,372.98

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Solution

The fourth proportional to 102,574.26, 153,744.75 and 43,372.98 is: 65,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,574.26 : 153,744.75 = 43,372.98 : x
  2. Step 2: Convert to fraction form
    102,574.26/153,744.75 = 43,372.98/x
  3. Step 3: Cross multiply
    102,574.26x = 153,744.75 × 43,372.98
  4. Step 4: Simplify right side
    102,574.26x = 6,668,367,966.86
  5. Step 5: Solve for x
    x = 6,668,367,966.86/102,574.26
  6. Step 6: Final answer
    x = 65,010.15

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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.