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Finding the Fourth Proportional to 101,862.22, 140,567.18 and 56,540.08

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Solution

The fourth proportional to 101,862.22, 140,567.18 and 56,540.08 is: 78,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,862.22 : 140,567.18 = 56,540.08 : x
  2. Step 2: Convert to fraction form
    101,862.22/140,567.18 = 56,540.08/x
  3. Step 3: Cross multiply
    101,862.22x = 140,567.18 × 56,540.08
  4. Step 4: Simplify right side
    101,862.22x = 7,947,679,602.57
  5. Step 5: Solve for x
    x = 7,947,679,602.57/101,862.22
  6. Step 6: Final answer
    x = 78,023.82

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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.