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Finding the Fourth Proportional to 100,258.14, 138,347.04 and 57,808.47

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Solution

The fourth proportional to 100,258.14, 138,347.04 and 57,808.47 is: 79,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,258.14 : 138,347.04 = 57,808.47 : x
  2. Step 2: Convert to fraction form
    100,258.14/138,347.04 = 57,808.47/x
  3. Step 3: Cross multiply
    100,258.14x = 138,347.04 × 57,808.47
  4. Step 4: Simplify right side
    100,258.14x = 7,997,630,711.43
  5. Step 5: Solve for x
    x = 7,997,630,711.43/100,258.14
  6. Step 6: Final answer
    x = 79,770.39

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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.