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Finding the Fourth Proportional to 143,281.40, 214,922.10 and 137,214.20

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Solution

The fourth proportional to 143,281.40, 214,922.10 and 137,214.20 is: 205,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,281.40 : 214,922.10 = 137,214.20 : x
  2. Step 2: Convert to fraction form
    143,281.40/214,922.10 = 137,214.20/x
  3. Step 3: Cross multiply
    143,281.40x = 214,922.10 × 137,214.20
  4. Step 4: Simplify right side
    143,281.40x = 29,490,364,013.82
  5. Step 5: Solve for x
    x = 29,490,364,013.82/143,281.40
  6. Step 6: Final answer
    x = 205,821.30

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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.