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Finding the Fourth Proportional to 152,098.80, 228,148.20 and 89,113.20

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Solution

The fourth proportional to 152,098.80, 228,148.20 and 89,113.20 is: 133,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,098.80 : 228,148.20 = 89,113.20 : x
  2. Step 2: Convert to fraction form
    152,098.80/228,148.20 = 89,113.20/x
  3. Step 3: Cross multiply
    152,098.80x = 228,148.20 × 89,113.20
  4. Step 4: Simplify right side
    152,098.80x = 20,331,016,176.24
  5. Step 5: Solve for x
    x = 20,331,016,176.24/152,098.80
  6. Step 6: Final answer
    x = 133,669.80

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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.