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Finding the Fourth Proportional to 120,423.84, 180,641.52 and 58,146.72

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Solution

The fourth proportional to 120,423.84, 180,641.52 and 58,146.72 is: 87,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,423.84 : 180,641.52 = 58,146.72 : x
  2. Step 2: Convert to fraction form
    120,423.84/180,641.52 = 58,146.72/x
  3. Step 3: Cross multiply
    120,423.84x = 180,641.52 × 58,146.72
  4. Step 4: Simplify right side
    120,423.84x = 10,503,711,883.81
  5. Step 5: Solve for x
    x = 10,503,711,883.81/120,423.84
  6. Step 6: Final answer
    x = 87,222.86

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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.