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Finding the Fourth Proportional to 286,140.89, 429,206.96 and 96,734.30

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Solution

The fourth proportional to 286,140.89, 429,206.96 and 96,734.30 is: 145,099.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,140.89 : 429,206.96 = 96,734.30 : x
  2. Step 2: Convert to fraction form
    286,140.89/429,206.96 = 96,734.30/x
  3. Step 3: Cross multiply
    286,140.89x = 429,206.96 × 96,734.30
  4. Step 4: Simplify right side
    286,140.89x = 41,519,034,830.73
  5. Step 5: Solve for x
    x = 41,519,034,830.73/286,140.89
  6. Step 6: Final answer
    x = 145,099.97

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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.