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Finding the Fourth Proportional to 101,853, 140,561.46 and 57,141

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Solution

The fourth proportional to 101,853, 140,561.46 and 57,141 is: 78,857.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,853 : 140,561.46 = 57,141 : x
  2. Step 2: Convert to fraction form
    101,853/140,561.46 = 57,141/x
  3. Step 3: Cross multiply
    101,853x = 140,561.46 × 57,141
  4. Step 4: Simplify right side
    101,853x = 8,031,822,385.86
  5. Step 5: Solve for x
    x = 8,031,822,385.86/101,853
  6. Step 6: Final answer
    x = 78,857.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.