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Finding the Fourth Proportional to 123,358.42, 170,237.76 and 75,638.08

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Solution

The fourth proportional to 123,358.42, 170,237.76 and 75,638.08 is: 104,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,358.42 : 170,237.76 = 75,638.08 : x
  2. Step 2: Convert to fraction form
    123,358.42/170,237.76 = 75,638.08/x
  3. Step 3: Cross multiply
    123,358.42x = 170,237.76 × 75,638.08
  4. Step 4: Simplify right side
    123,358.42x = 12,876,457,309.90
  5. Step 5: Solve for x
    x = 12,876,457,309.90/123,358.42
  6. Step 6: Final answer
    x = 104,382.48

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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.