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Finding the Fourth Proportional to 101,773.16, 140,463.77 and 56,465.72

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Solution

The fourth proportional to 101,773.16, 140,463.77 and 56,465.72 is: 77,932.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,773.16 : 140,463.77 = 56,465.72 : x
  2. Step 2: Convert to fraction form
    101,773.16/140,463.77 = 56,465.72/x
  3. Step 3: Cross multiply
    101,773.16x = 140,463.77 × 56,465.72
  4. Step 4: Simplify right side
    101,773.16x = 7,931,387,906.96
  5. Step 5: Solve for x
    x = 7,931,387,906.96/101,773.16
  6. Step 6: Final answer
    x = 77,932.02

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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.