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Finding the Fourth Proportional to 107,294.36, 148,064.36 and 59,549.72

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Solution

The fourth proportional to 107,294.36, 148,064.36 and 59,549.72 is: 82,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,294.36 : 148,064.36 = 59,549.72 : x
  2. Step 2: Convert to fraction form
    107,294.36/148,064.36 = 59,549.72/x
  3. Step 3: Cross multiply
    107,294.36x = 148,064.36 × 59,549.72
  4. Step 4: Simplify right side
    107,294.36x = 8,817,191,179.98
  5. Step 5: Solve for x
    x = 8,817,191,179.98/107,294.36
  6. Step 6: Final answer
    x = 82,177.58

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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.