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Finding the Fourth Proportional to 143,161.88, 214,695.10 and 57,750.68

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Solution

The fourth proportional to 143,161.88, 214,695.10 and 57,750.68 is: 86,606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,161.88 : 214,695.10 = 57,750.68 : x
  2. Step 2: Convert to fraction form
    143,161.88/214,695.10 = 57,750.68/x
  3. Step 3: Cross multiply
    143,161.88x = 214,695.10 × 57,750.68
  4. Step 4: Simplify right side
    143,161.88x = 12,398,788,017.67
  5. Step 5: Solve for x
    x = 12,398,788,017.67/143,161.88
  6. Step 6: Final answer
    x = 86,606.77

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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.