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Finding the Fourth Proportional to 102,002.80, 152,854.80 and 91,472.80

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Solution

The fourth proportional to 102,002.80, 152,854.80 and 91,472.80 is: 137,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,002.80 : 152,854.80 = 91,472.80 : x
  2. Step 2: Convert to fraction form
    102,002.80/152,854.80 = 91,472.80/x
  3. Step 3: Cross multiply
    102,002.80x = 152,854.80 × 91,472.80
  4. Step 4: Simplify right side
    102,002.80x = 13,982,056,549.44
  5. Step 5: Solve for x
    x = 13,982,056,549.44/102,002.80
  6. Step 6: Final answer
    x = 137,075.22

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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.