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Finding the Fourth Proportional to 115,033.46, 158,721.77 and 72,567.38

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Solution

The fourth proportional to 115,033.46, 158,721.77 and 72,567.38 is: 100,127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,033.46 : 158,721.77 = 72,567.38 : x
  2. Step 2: Convert to fraction form
    115,033.46/158,721.77 = 72,567.38/x
  3. Step 3: Cross multiply
    115,033.46x = 158,721.77 × 72,567.38
  4. Step 4: Simplify right side
    115,033.46x = 11,518,021,841.42
  5. Step 5: Solve for x
    x = 11,518,021,841.42/115,033.46
  6. Step 6: Final answer
    x = 100,127.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.