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Finding the Fourth Proportional to 186,756.44, 257,722.98 and 101,872.76

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Solution

The fourth proportional to 186,756.44, 257,722.98 and 101,872.76 is: 140,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,756.44 : 257,722.98 = 101,872.76 : x
  2. Step 2: Convert to fraction form
    186,756.44/257,722.98 = 101,872.76/x
  3. Step 3: Cross multiply
    186,756.44x = 257,722.98 × 101,872.76
  4. Step 4: Simplify right side
    186,756.44x = 26,254,951,288.02
  5. Step 5: Solve for x
    x = 26,254,951,288.02/186,756.44
  6. Step 6: Final answer
    x = 140,583.91

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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.