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Finding the Fourth Proportional to 102,596.88, 141,586.08 and 64,358.04

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Solution

The fourth proportional to 102,596.88, 141,586.08 and 64,358.04 is: 88,815.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,596.88 : 141,586.08 = 64,358.04 : x
  2. Step 2: Convert to fraction form
    102,596.88/141,586.08 = 64,358.04/x
  3. Step 3: Cross multiply
    102,596.88x = 141,586.08 × 64,358.04
  4. Step 4: Simplify right side
    102,596.88x = 9,112,202,600.08
  5. Step 5: Solve for x
    x = 9,112,202,600.08/102,596.88
  6. Step 6: Final answer
    x = 88,815.59

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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.