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Finding the Fourth Proportional to 123,534.30, 185,301.45 and 114,786.30

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Solution

The fourth proportional to 123,534.30, 185,301.45 and 114,786.30 is: 172,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,534.30 : 185,301.45 = 114,786.30 : x
  2. Step 2: Convert to fraction form
    123,534.30/185,301.45 = 114,786.30/x
  3. Step 3: Cross multiply
    123,534.30x = 185,301.45 × 114,786.30
  4. Step 4: Simplify right side
    123,534.30x = 21,270,067,830.14
  5. Step 5: Solve for x
    x = 21,270,067,830.14/123,534.30
  6. Step 6: Final answer
    x = 172,179.45

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1.5x scale

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.