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Finding the Fourth Proportional to 143,002.65, 214,498.36 and 43,160.13

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Solution

The fourth proportional to 143,002.65, 214,498.36 and 43,160.13 is: 64,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,002.65 : 214,498.36 = 43,160.13 : x
  2. Step 2: Convert to fraction form
    143,002.65/214,498.36 = 43,160.13/x
  3. Step 3: Cross multiply
    143,002.65x = 214,498.36 × 43,160.13
  4. Step 4: Simplify right side
    143,002.65x = 9,257,777,156.34
  5. Step 5: Solve for x
    x = 9,257,777,156.34/143,002.65
  6. Step 6: Final answer
    x = 64,738.50

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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.