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Finding the Fourth Proportional to 107,143.76, 147,853.44 and 59,396.48

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Solution

The fourth proportional to 107,143.76, 147,853.44 and 59,396.48 is: 81,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,143.76 : 147,853.44 = 59,396.48 : x
  2. Step 2: Convert to fraction form
    107,143.76/147,853.44 = 59,396.48/x
  3. Step 3: Cross multiply
    107,143.76x = 147,853.44 × 59,396.48
  4. Step 4: Simplify right side
    107,143.76x = 8,781,973,891.89
  5. Step 5: Solve for x
    x = 8,781,973,891.89/107,143.76
  6. Step 6: Final answer
    x = 81,964.40

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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.