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Finding the Fourth Proportional to 153,792.47, 230,687.33 and 48,611.48

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Solution

The fourth proportional to 153,792.47, 230,687.33 and 48,611.48 is: 72,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,792.47 : 230,687.33 = 48,611.48 : x
  2. Step 2: Convert to fraction form
    153,792.47/230,687.33 = 48,611.48/x
  3. Step 3: Cross multiply
    153,792.47x = 230,687.33 × 48,611.48
  4. Step 4: Simplify right side
    153,792.47x = 11,214,051,132.05
  5. Step 5: Solve for x
    x = 11,214,051,132.05/153,792.47
  6. Step 6: Final answer
    x = 72,916.78

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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.