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Finding the Fourth Proportional to 186,572.92, 257,470.72 and 106,000.58

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Solution

The fourth proportional to 186,572.92, 257,470.72 and 106,000.58 is: 146,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,572.92 : 257,470.72 = 106,000.58 : x
  2. Step 2: Convert to fraction form
    186,572.92/257,470.72 = 106,000.58/x
  3. Step 3: Cross multiply
    186,572.92x = 257,470.72 × 106,000.58
  4. Step 4: Simplify right side
    186,572.92x = 27,292,045,653.02
  5. Step 5: Solve for x
    x = 27,292,045,653.02/186,572.92
  6. Step 6: Final answer
    x = 146,280.85

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1.5x scale

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.