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Finding the Fourth Proportional to 115,216.80, 172,719.90 and 97,561.14

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Solution

The fourth proportional to 115,216.80, 172,719.90 and 97,561.14 is: 146,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,216.80 : 172,719.90 = 97,561.14 : x
  2. Step 2: Convert to fraction form
    115,216.80/172,719.90 = 97,561.14/x
  3. Step 3: Cross multiply
    115,216.80x = 172,719.90 × 97,561.14
  4. Step 4: Simplify right side
    115,216.80x = 16,850,750,344.69
  5. Step 5: Solve for x
    x = 16,850,750,344.69/115,216.80
  6. Step 6: Final answer
    x = 146,252.55

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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.