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Finding the Fourth Proportional to 107,498.38, 148,323.67 and 65,056

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Solution

The fourth proportional to 107,498.38, 148,323.67 and 65,056 is: 89,762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,498.38 : 148,323.67 = 65,056 : x
  2. Step 2: Convert to fraction form
    107,498.38/148,323.67 = 65,056/x
  3. Step 3: Cross multiply
    107,498.38x = 148,323.67 × 65,056
  4. Step 4: Simplify right side
    107,498.38x = 9,649,344,675.52
  5. Step 5: Solve for x
    x = 9,649,344,675.52/107,498.38
  6. Step 6: Final answer
    x = 89,762.70

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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.