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Finding the Fourth Proportional to 101,742.68, 140,398.02 and 56,418.98

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Solution

The fourth proportional to 101,742.68, 140,398.02 and 56,418.98 is: 77,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,742.68 : 140,398.02 = 56,418.98 : x
  2. Step 2: Convert to fraction form
    101,742.68/140,398.02 = 56,418.98/x
  3. Step 3: Cross multiply
    101,742.68x = 140,398.02 × 56,418.98
  4. Step 4: Simplify right side
    101,742.68x = 7,921,113,082.42
  5. Step 5: Solve for x
    x = 7,921,113,082.42/101,742.68
  6. Step 6: Final answer
    x = 77,854.38

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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.