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Finding the Fourth Proportional to 186,854.07, 257,849.07 and 106,279.83

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Solution

The fourth proportional to 186,854.07, 257,849.07 and 106,279.83 is: 146,660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,854.07 : 257,849.07 = 106,279.83 : x
  2. Step 2: Convert to fraction form
    186,854.07/257,849.07 = 106,279.83/x
  3. Step 3: Cross multiply
    186,854.07x = 257,849.07 × 106,279.83
  4. Step 4: Simplify right side
    186,854.07x = 27,404,155,325.26
  5. Step 5: Solve for x
    x = 27,404,155,325.26/186,854.07
  6. Step 6: Final answer
    x = 146,660.74

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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.