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Finding the Fourth Proportional to 107,808.10, 148,762.27 and 61,865.38

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Solution

The fourth proportional to 107,808.10, 148,762.27 and 61,865.38 is: 85,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,808.10 : 148,762.27 = 61,865.38 : x
  2. Step 2: Convert to fraction form
    107,808.10/148,762.27 = 61,865.38/x
  3. Step 3: Cross multiply
    107,808.10x = 148,762.27 × 61,865.38
  4. Step 4: Simplify right side
    107,808.10x = 9,203,234,626.50
  5. Step 5: Solve for x
    x = 9,203,234,626.50/107,808.10
  6. Step 6: Final answer
    x = 85,366.82

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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.