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Finding the Fourth Proportional to 107,100.70, 160,695.16 and 47,098.33

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Solution

The fourth proportional to 107,100.70, 160,695.16 and 47,098.33 is: 70,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,100.70 : 160,695.16 = 47,098.33 : x
  2. Step 2: Convert to fraction form
    107,100.70/160,695.16 = 47,098.33/x
  3. Step 3: Cross multiply
    107,100.70x = 160,695.16 × 47,098.33
  4. Step 4: Simplify right side
    107,100.70x = 7,568,473,155.60
  5. Step 5: Solve for x
    x = 7,568,473,155.60/107,100.70
  6. Step 6: Final answer
    x = 70,666.89

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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.