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Finding the Fourth Proportional to 120,428.50, 180,686.19 and 64,209.46

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Solution

The fourth proportional to 120,428.50, 180,686.19 and 64,209.46 is: 96,337.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,428.50 : 180,686.19 = 64,209.46 : x
  2. Step 2: Convert to fraction form
    120,428.50/180,686.19 = 64,209.46/x
  3. Step 3: Cross multiply
    120,428.50x = 180,686.19 × 64,209.46
  4. Step 4: Simplify right side
    120,428.50x = 11,601,762,689.36
  5. Step 5: Solve for x
    x = 11,601,762,689.36/120,428.50
  6. Step 6: Final answer
    x = 96,337.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.