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Finding the Fourth Proportional to 107,301.92, 148,064.64 and 59,557.28

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Solution

The fourth proportional to 107,301.92, 148,064.64 and 59,557.28 is: 82,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,301.92 : 148,064.64 = 59,557.28 : x
  2. Step 2: Convert to fraction form
    107,301.92/148,064.64 = 59,557.28/x
  3. Step 3: Cross multiply
    107,301.92x = 148,064.64 × 59,557.28
  4. Step 4: Simplify right side
    107,301.92x = 8,818,327,222.58
  5. Step 5: Solve for x
    x = 8,818,327,222.58/107,301.92
  6. Step 6: Final answer
    x = 82,182.38

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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.