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Finding the Fourth Proportional to 211,546.90, 317,320.35 and 202,215.70

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Solution

The fourth proportional to 211,546.90, 317,320.35 and 202,215.70 is: 303,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,546.90 : 317,320.35 = 202,215.70 : x
  2. Step 2: Convert to fraction form
    211,546.90/317,320.35 = 202,215.70/x
  3. Step 3: Cross multiply
    211,546.90x = 317,320.35 × 202,215.70
  4. Step 4: Simplify right side
    211,546.90x = 64,167,156,699.50
  5. Step 5: Solve for x
    x = 64,167,156,699.50/211,546.90
  6. Step 6: Final answer
    x = 303,323.55

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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.