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Finding the Fourth Proportional to 107,354.56, 160,308.92 and 87,672.16

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Solution

The fourth proportional to 107,354.56, 160,308.92 and 87,672.16 is: 130,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,354.56 : 160,308.92 = 87,672.16 : x
  2. Step 2: Convert to fraction form
    107,354.56/160,308.92 = 87,672.16/x
  3. Step 3: Cross multiply
    107,354.56x = 160,308.92 × 87,672.16
  4. Step 4: Simplify right side
    107,354.56x = 14,054,629,283.67
  5. Step 5: Solve for x
    x = 14,054,629,283.67/107,354.56
  6. Step 6: Final answer
    x = 130,917.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.