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Finding the Fourth Proportional to 145,960.80, 218,941.20 and 93,472.80

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Solution

The fourth proportional to 145,960.80, 218,941.20 and 93,472.80 is: 140,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,960.80 : 218,941.20 = 93,472.80 : x
  2. Step 2: Convert to fraction form
    145,960.80/218,941.20 = 93,472.80/x
  3. Step 3: Cross multiply
    145,960.80x = 218,941.20 × 93,472.80
  4. Step 4: Simplify right side
    145,960.80x = 20,465,046,999.36
  5. Step 5: Solve for x
    x = 20,465,046,999.36/145,960.80
  6. Step 6: Final answer
    x = 140,209.20

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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.