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Finding the Fourth Proportional to 107,154.34, 160,469.06 and 75,486.58

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Solution

The fourth proportional to 107,154.34, 160,469.06 and 75,486.58 is: 113,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,154.34 : 160,469.06 = 75,486.58 : x
  2. Step 2: Convert to fraction form
    107,154.34/160,469.06 = 75,486.58/x
  3. Step 3: Cross multiply
    107,154.34x = 160,469.06 × 75,486.58
  4. Step 4: Simplify right side
    107,154.34x = 12,113,259,756.61
  5. Step 5: Solve for x
    x = 12,113,259,756.61/107,154.34
  6. Step 6: Final answer
    x = 113,044.98

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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.