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Finding the Fourth Proportional to 295,271.10, 442,240.65 and 137,166.84

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Solution

The fourth proportional to 295,271.10, 442,240.65 and 137,166.84 is: 205,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,271.10 : 442,240.65 = 137,166.84 : x
  2. Step 2: Convert to fraction form
    295,271.10/442,240.65 = 137,166.84/x
  3. Step 3: Cross multiply
    295,271.10x = 442,240.65 × 137,166.84
  4. Step 4: Simplify right side
    295,271.10x = 60,660,752,480.05
  5. Step 5: Solve for x
    x = 60,660,752,480.05/295,271.10
  6. Step 6: Final answer
    x = 205,440.87

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