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Finding the Fourth Proportional to 140,097.50, 209,961.08 and 51,265.48

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Solution

The fourth proportional to 140,097.50, 209,961.08 and 51,265.48 is: 76,830.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,097.50 : 209,961.08 = 51,265.48 : x
  2. Step 2: Convert to fraction form
    140,097.50/209,961.08 = 51,265.48/x
  3. Step 3: Cross multiply
    140,097.50x = 209,961.08 × 51,265.48
  4. Step 4: Simplify right side
    140,097.50x = 10,763,755,547.52
  5. Step 5: Solve for x
    x = 10,763,755,547.52/140,097.50
  6. Step 6: Final answer
    x = 76,830.46

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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.