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Finding the Fourth Proportional to 255,417.76, 352,451.28 and 142,251.04

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Solution

The fourth proportional to 255,417.76, 352,451.28 and 142,251.04 is: 196,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,417.76 : 352,451.28 = 142,251.04 : x
  2. Step 2: Convert to fraction form
    255,417.76/352,451.28 = 142,251.04/x
  3. Step 3: Cross multiply
    255,417.76x = 352,451.28 × 142,251.04
  4. Step 4: Simplify right side
    255,417.76x = 50,136,561,129.33
  5. Step 5: Solve for x
    x = 50,136,561,129.33/255,417.76
  6. Step 6: Final answer
    x = 196,292.38

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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.