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Finding the Fourth Proportional to 132,308.59, 198,454.84 and 46,923.67

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Solution

The fourth proportional to 132,308.59, 198,454.84 and 46,923.67 is: 70,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,308.59 : 198,454.84 = 46,923.67 : x
  2. Step 2: Convert to fraction form
    132,308.59/198,454.84 = 46,923.67/x
  3. Step 3: Cross multiply
    132,308.59x = 198,454.84 × 46,923.67
  4. Step 4: Simplify right side
    132,308.59x = 9,312,229,422.06
  5. Step 5: Solve for x
    x = 9,312,229,422.06/132,308.59
  6. Step 6: Final answer
    x = 70,382.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.