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Finding the Fourth Proportional to 102,562.10, 153,843.15 and 100,258.10

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Solution

The fourth proportional to 102,562.10, 153,843.15 and 100,258.10 is: 150,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,562.10 : 153,843.15 = 100,258.10 : x
  2. Step 2: Convert to fraction form
    102,562.10/153,843.15 = 100,258.10/x
  3. Step 3: Cross multiply
    102,562.10x = 153,843.15 × 100,258.10
  4. Step 4: Simplify right side
    102,562.10x = 15,424,021,917.02
  5. Step 5: Solve for x
    x = 15,424,021,917.02/102,562.10
  6. Step 6: Final answer
    x = 150,387.15

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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.