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Finding the Fourth Proportional to 102,810.69, 153,789.55 and 96,512.13

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Solution

The fourth proportional to 102,810.69, 153,789.55 and 96,512.13 is: 144,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,810.69 : 153,789.55 = 96,512.13 : x
  2. Step 2: Convert to fraction form
    102,810.69/153,789.55 = 96,512.13/x
  3. Step 3: Cross multiply
    102,810.69x = 153,789.55 × 96,512.13
  4. Step 4: Simplify right side
    102,810.69x = 14,842,557,042.24
  5. Step 5: Solve for x
    x = 14,842,557,042.24/102,810.69
  6. Step 6: Final answer
    x = 144,367.84

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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.