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Finding the Fourth Proportional to 181,770.19, 250,862.30 and 106,381.87

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Solution

The fourth proportional to 181,770.19, 250,862.30 and 106,381.87 is: 146,818.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,770.19 : 250,862.30 = 106,381.87 : x
  2. Step 2: Convert to fraction form
    181,770.19/250,862.30 = 106,381.87/x
  3. Step 3: Cross multiply
    181,770.19x = 250,862.30 × 106,381.87
  4. Step 4: Simplify right side
    181,770.19x = 26,687,199,826.37
  5. Step 5: Solve for x
    x = 26,687,199,826.37/181,770.19
  6. Step 6: Final answer
    x = 146,818.35

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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.