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Finding the Fourth Proportional to 211,370.40, 317,098.80 and 71,143.20

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Solution

The fourth proportional to 211,370.40, 317,098.80 and 71,143.20 is: 106,729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,370.40 : 317,098.80 = 71,143.20 : x
  2. Step 2: Convert to fraction form
    211,370.40/317,098.80 = 71,143.20/x
  3. Step 3: Cross multiply
    211,370.40x = 317,098.80 × 71,143.20
  4. Step 4: Simplify right side
    211,370.40x = 22,559,423,348.16
  5. Step 5: Solve for x
    x = 22,559,423,348.16/211,370.40
  6. Step 6: Final answer
    x = 106,729.34

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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.