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Finding the Fourth Proportional to 107,218.98, 160,564.95 and 88,383.78

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Solution

The fourth proportional to 107,218.98, 160,564.95 and 88,383.78 is: 132,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,218.98 : 160,564.95 = 88,383.78 : x
  2. Step 2: Convert to fraction form
    107,218.98/160,564.95 = 88,383.78/x
  3. Step 3: Cross multiply
    107,218.98x = 160,564.95 × 88,383.78
  4. Step 4: Simplify right side
    107,218.98x = 14,191,337,216.51
  5. Step 5: Solve for x
    x = 14,191,337,216.51/107,218.98
  6. Step 6: Final answer
    x = 132,358.44

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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.