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Finding the Fourth Proportional to 142,688.66, 196,909.92 and 82,259.01

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Solution

The fourth proportional to 142,688.66, 196,909.92 and 82,259.01 is: 113,517.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,688.66 : 196,909.92 = 82,259.01 : x
  2. Step 2: Convert to fraction form
    142,688.66/196,909.92 = 82,259.01/x
  3. Step 3: Cross multiply
    142,688.66x = 196,909.92 × 82,259.01
  4. Step 4: Simplify right side
    142,688.66x = 16,197,615,078.38
  5. Step 5: Solve for x
    x = 16,197,615,078.38/142,688.66
  6. Step 6: Final answer
    x = 113,517.19

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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.