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Finding the Fourth Proportional to 152,146.67, 209,891.66 and 98,449.02

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Solution

The fourth proportional to 152,146.67, 209,891.66 and 98,449.02 is: 135,813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,146.67 : 209,891.66 = 98,449.02 : x
  2. Step 2: Convert to fraction form
    152,146.67/209,891.66 = 98,449.02/x
  3. Step 3: Cross multiply
    152,146.67x = 209,891.66 × 98,449.02
  4. Step 4: Simplify right side
    152,146.67x = 20,663,627,740.93
  5. Step 5: Solve for x
    x = 20,663,627,740.93/152,146.67
  6. Step 6: Final answer
    x = 135,813.87

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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.