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Finding the Fourth Proportional to 115,232.80, 172,849.20 and 97,518.10

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Solution

The fourth proportional to 115,232.80, 172,849.20 and 97,518.10 is: 146,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,232.80 : 172,849.20 = 97,518.10 : x
  2. Step 2: Convert to fraction form
    115,232.80/172,849.20 = 97,518.10/x
  3. Step 3: Cross multiply
    115,232.80x = 172,849.20 × 97,518.10
  4. Step 4: Simplify right side
    115,232.80x = 16,855,925,570.52
  5. Step 5: Solve for x
    x = 16,855,925,570.52/115,232.80
  6. Step 6: Final answer
    x = 146,277.15

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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.