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Finding the Fourth Proportional to 107,209.71, 147,967.11 and 59,478.44

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Solution

The fourth proportional to 107,209.71, 147,967.11 and 59,478.44 is: 82,090.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,209.71 : 147,967.11 = 59,478.44 : x
  2. Step 2: Convert to fraction form
    107,209.71/147,967.11 = 59,478.44/x
  3. Step 3: Cross multiply
    107,209.71x = 147,967.11 × 59,478.44
  4. Step 4: Simplify right side
    107,209.71x = 8,800,852,134.27
  5. Step 5: Solve for x
    x = 8,800,852,134.27/107,209.71
  6. Step 6: Final answer
    x = 82,090.07

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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.