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Finding the Fourth Proportional to 186,912.56, 257,930.32 and 106,332.48

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Solution

The fourth proportional to 186,912.56, 257,930.32 and 106,332.48 is: 146,733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,912.56 : 257,930.32 = 106,332.48 : x
  2. Step 2: Convert to fraction form
    186,912.56/257,930.32 = 106,332.48/x
  3. Step 3: Cross multiply
    186,912.56x = 257,930.32 × 106,332.48
  4. Step 4: Simplify right side
    186,912.56x = 27,426,370,592.79
  5. Step 5: Solve for x
    x = 27,426,370,592.79/186,912.56
  6. Step 6: Final answer
    x = 146,733.70

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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.