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Finding the Fourth Proportional to 107,355.30, 160,903.35 and 54,737.70

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Solution

The fourth proportional to 107,355.30, 160,903.35 and 54,737.70 is: 82,040.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,355.30 : 160,903.35 = 54,737.70 : x
  2. Step 2: Convert to fraction form
    107,355.30/160,903.35 = 54,737.70/x
  3. Step 3: Cross multiply
    107,355.30x = 160,903.35 × 54,737.70
  4. Step 4: Simplify right side
    107,355.30x = 8,807,479,301.30
  5. Step 5: Solve for x
    x = 8,807,479,301.30/107,355.30
  6. Step 6: Final answer
    x = 82,040.47

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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.