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Finding the Fourth Proportional to 153,691.49, 230,544.30 and 57,651.66

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Solution

The fourth proportional to 153,691.49, 230,544.30 and 57,651.66 is: 86,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,691.49 : 230,544.30 = 57,651.66 : x
  2. Step 2: Convert to fraction form
    153,691.49/230,544.30 = 57,651.66/x
  3. Step 3: Cross multiply
    153,691.49x = 230,544.30 × 57,651.66
  4. Step 4: Simplify right side
    153,691.49x = 13,291,261,598.54
  5. Step 5: Solve for x
    x = 13,291,261,598.54/153,691.49
  6. Step 6: Final answer
    x = 86,480.14

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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.