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Finding the Fourth Proportional to 160,759.94, 241,130.19 and 71,989.61

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Solution

The fourth proportional to 160,759.94, 241,130.19 and 71,989.61 is: 107,980.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,759.94 : 241,130.19 = 71,989.61 : x
  2. Step 2: Convert to fraction form
    160,759.94/241,130.19 = 71,989.61/x
  3. Step 3: Cross multiply
    160,759.94x = 241,130.19 × 71,989.61
  4. Step 4: Simplify right side
    160,759.94x = 17,358,868,337.33
  5. Step 5: Solve for x
    x = 17,358,868,337.33/160,759.94
  6. Step 6: Final answer
    x = 107,980.06

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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.