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Finding the Fourth Proportional to 255,748.14, 352,870.71 and 165,084.68

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Solution

The fourth proportional to 255,748.14, 352,870.71 and 165,084.68 is: 227,777.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,748.14 : 352,870.71 = 165,084.68 : x
  2. Step 2: Convert to fraction form
    255,748.14/352,870.71 = 165,084.68/x
  3. Step 3: Cross multiply
    255,748.14x = 352,870.71 × 165,084.68
  4. Step 4: Simplify right side
    255,748.14x = 58,253,549,476.00
  5. Step 5: Solve for x
    x = 58,253,549,476.00/255,748.14
  6. Step 6: Final answer
    x = 227,777.02

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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.