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Finding the Fourth Proportional to 193,689.51, 290,621.90 and 98,870.73

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Solution

The fourth proportional to 193,689.51, 290,621.90 and 98,870.73 is: 148,350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,689.51 : 290,621.90 = 98,870.73 : x
  2. Step 2: Convert to fraction form
    193,689.51/290,621.90 = 98,870.73/x
  3. Step 3: Cross multiply
    193,689.51x = 290,621.90 × 98,870.73
  4. Step 4: Simplify right side
    193,689.51x = 28,733,999,406.99
  5. Step 5: Solve for x
    x = 28,733,999,406.99/193,689.51
  6. Step 6: Final answer
    x = 148,350.83

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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.