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Finding the Fourth Proportional to 107,414.71, 148,287.71 and 75,725.08

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Solution

The fourth proportional to 107,414.71, 148,287.71 and 75,725.08 is: 104,539.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,414.71 : 148,287.71 = 75,725.08 : x
  2. Step 2: Convert to fraction form
    107,414.71/148,287.71 = 75,725.08/x
  3. Step 3: Cross multiply
    107,414.71x = 148,287.71 × 75,725.08
  4. Step 4: Simplify right side
    107,414.71x = 11,229,098,521.36
  5. Step 5: Solve for x
    x = 11,229,098,521.36/107,414.71
  6. Step 6: Final answer
    x = 104,539.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.