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Finding the Fourth Proportional to 102,378.64, 153,568.92 and 100,201.36

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Solution

The fourth proportional to 102,378.64, 153,568.92 and 100,201.36 is: 150,302.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,378.64 : 153,568.92 = 100,201.36 : x
  2. Step 2: Convert to fraction form
    102,378.64/153,568.92 = 100,201.36/x
  3. Step 3: Cross multiply
    102,378.64x = 153,568.92 × 100,201.36
  4. Step 4: Simplify right side
    102,378.64x = 15,387,814,637.73
  5. Step 5: Solve for x
    x = 15,387,814,637.73/102,378.64
  6. Step 6: Final answer
    x = 150,302.98

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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.