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Finding the Fourth Proportional to 107,102.97, 147,798.36 and 59,360.76

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Solution

The fourth proportional to 107,102.97, 147,798.36 and 59,360.76 is: 81,915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,102.97 : 147,798.36 = 59,360.76 : x
  2. Step 2: Convert to fraction form
    107,102.97/147,798.36 = 59,360.76/x
  3. Step 3: Cross multiply
    107,102.97x = 147,798.36 × 59,360.76
  4. Step 4: Simplify right side
    107,102.97x = 8,773,422,976.35
  5. Step 5: Solve for x
    x = 8,773,422,976.35/107,102.97
  6. Step 6: Final answer
    x = 81,915.78

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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.