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Finding the Fourth Proportional to 186,652.46, 257,580.45 and 106,077.90

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Solution

The fourth proportional to 186,652.46, 257,580.45 and 106,077.90 is: 146,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,652.46 : 257,580.45 = 106,077.90 : x
  2. Step 2: Convert to fraction form
    186,652.46/257,580.45 = 106,077.90/x
  3. Step 3: Cross multiply
    186,652.46x = 257,580.45 × 106,077.90
  4. Step 4: Simplify right side
    186,652.46x = 27,323,593,217.06
  5. Step 5: Solve for x
    x = 27,323,593,217.06/186,652.46
  6. Step 6: Final answer
    x = 146,387.54

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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.