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Finding the Fourth Proportional to 255,597.60, 352,726.14 and 148,231.32

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Solution

The fourth proportional to 255,597.60, 352,726.14 and 148,231.32 is: 204,560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,597.60 : 352,726.14 = 148,231.32 : x
  2. Step 2: Convert to fraction form
    255,597.60/352,726.14 = 148,231.32/x
  3. Step 3: Cross multiply
    255,597.60x = 352,726.14 × 148,231.32
  4. Step 4: Simplify right side
    255,597.60x = 52,285,061,330.70
  5. Step 5: Solve for x
    x = 52,285,061,330.70/255,597.60
  6. Step 6: Final answer
    x = 204,560.06

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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.