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Finding the Fourth Proportional to 152,407.30, 228,092.55 and 133,744.90

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Solution

The fourth proportional to 152,407.30, 228,092.55 and 133,744.90 is: 200,162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,407.30 : 228,092.55 = 133,744.90 : x
  2. Step 2: Convert to fraction form
    152,407.30/228,092.55 = 133,744.90/x
  3. Step 3: Cross multiply
    152,407.30x = 228,092.55 × 133,744.90
  4. Step 4: Simplify right side
    152,407.30x = 30,506,215,290.50
  5. Step 5: Solve for x
    x = 30,506,215,290.50/152,407.30
  6. Step 6: Final answer
    x = 200,162.43

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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.