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Finding the Fourth Proportional to 206,117.90, 309,103.95 and 98,034.54

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Solution

The fourth proportional to 206,117.90, 309,103.95 and 98,034.54 is: 147,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,117.90 : 309,103.95 = 98,034.54 : x
  2. Step 2: Convert to fraction form
    206,117.90/309,103.95 = 98,034.54/x
  3. Step 3: Cross multiply
    206,117.90x = 309,103.95 × 98,034.54
  4. Step 4: Simplify right side
    206,117.90x = 30,302,863,550.43
  5. Step 5: Solve for x
    x = 30,302,863,550.43/206,117.90
  6. Step 6: Final answer
    x = 147,017.14

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1.5x scale

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.