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Finding the Fourth Proportional to 101,874.18, 140,603.02 and 56,566.82

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Solution

The fourth proportional to 101,874.18, 140,603.02 and 56,566.82 is: 78,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,874.18 : 140,603.02 = 56,566.82 : x
  2. Step 2: Convert to fraction form
    101,874.18/140,603.02 = 56,566.82/x
  3. Step 3: Cross multiply
    101,874.18x = 140,603.02 × 56,566.82
  4. Step 4: Simplify right side
    101,874.18x = 7,953,465,723.80
  5. Step 5: Solve for x
    x = 7,953,465,723.80/101,874.18
  6. Step 6: Final answer
    x = 78,071.46

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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.