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Finding the Fourth Proportional to 211,793.10, 317,689.65 and 106,817.10

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Solution

The fourth proportional to 211,793.10, 317,689.65 and 106,817.10 is: 160,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,793.10 : 317,689.65 = 106,817.10 : x
  2. Step 2: Convert to fraction form
    211,793.10/317,689.65 = 106,817.10/x
  3. Step 3: Cross multiply
    211,793.10x = 317,689.65 × 106,817.10
  4. Step 4: Simplify right side
    211,793.10x = 33,934,687,113.02
  5. Step 5: Solve for x
    x = 33,934,687,113.02/211,793.10
  6. Step 6: Final answer
    x = 160,225.65

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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.