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Finding the Fourth Proportional to 186,871.38, 257,878.90 and 101,989.05

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Solution

The fourth proportional to 186,871.38, 257,878.90 and 101,989.05 is: 140,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,871.38 : 257,878.90 = 101,989.05 : x
  2. Step 2: Convert to fraction form
    186,871.38/257,878.90 = 101,989.05/x
  3. Step 3: Cross multiply
    186,871.38x = 257,878.90 × 101,989.05
  4. Step 4: Simplify right side
    186,871.38x = 26,300,822,226.71
  5. Step 5: Solve for x
    x = 26,300,822,226.71/186,871.38
  6. Step 6: Final answer
    x = 140,742.92

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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.