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Finding the Fourth Proportional to 153,680.96, 230,545.32 and 64,934.90

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Solution

The fourth proportional to 153,680.96, 230,545.32 and 64,934.90 is: 97,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,680.96 : 230,545.32 = 64,934.90 : x
  2. Step 2: Convert to fraction form
    153,680.96/230,545.32 = 64,934.90/x
  3. Step 3: Cross multiply
    153,680.96x = 230,545.32 × 64,934.90
  4. Step 4: Simplify right side
    153,680.96x = 14,970,437,299.67
  5. Step 5: Solve for x
    x = 14,970,437,299.67/153,680.96
  6. Step 6: Final answer
    x = 97,412.44

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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.