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Finding the Fourth Proportional to 159,877.60, 239,728.21 and 65,083.50

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Solution

The fourth proportional to 159,877.60, 239,728.21 and 65,083.50 is: 97,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,877.60 : 239,728.21 = 65,083.50 : x
  2. Step 2: Convert to fraction form
    159,877.60/239,728.21 = 65,083.50/x
  3. Step 3: Cross multiply
    159,877.60x = 239,728.21 × 65,083.50
  4. Step 4: Simplify right side
    159,877.60x = 15,602,350,792.83
  5. Step 5: Solve for x
    x = 15,602,350,792.83/159,877.60
  6. Step 6: Final answer
    x = 97,589.35

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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.