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Finding the Fourth Proportional to 120,304.61, 180,355.43 and 75,833.34

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Solution

The fourth proportional to 120,304.61, 180,355.43 and 75,833.34 is: 113,686.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,304.61 : 180,355.43 = 75,833.34 : x
  2. Step 2: Convert to fraction form
    120,304.61/180,355.43 = 75,833.34/x
  3. Step 3: Cross multiply
    120,304.61x = 180,355.43 × 75,833.34
  4. Step 4: Simplify right side
    120,304.61x = 13,676,954,264.87
  5. Step 5: Solve for x
    x = 13,676,954,264.87/120,304.61
  6. Step 6: Final answer
    x = 113,686.04

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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.