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Finding the Fourth Proportional to 95,384, 142,955.40 and 83,508.68

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Solution

The fourth proportional to 95,384, 142,955.40 and 83,508.68 is: 125,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,384 : 142,955.40 = 83,508.68 : x
  2. Step 2: Convert to fraction form
    95,384/142,955.40 = 83,508.68/x
  3. Step 3: Cross multiply
    95,384x = 142,955.40 × 83,508.68
  4. Step 4: Simplify right side
    95,384x = 11,938,016,752.87
  5. Step 5: Solve for x
    x = 11,938,016,752.87/95,384
  6. Step 6: Final answer
    x = 125,157.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.