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Finding the Fourth Proportional to 260,178.82, 359,053.78 and 146,999.14

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Solution

The fourth proportional to 260,178.82, 359,053.78 and 146,999.14 is: 202,862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,178.82 : 359,053.78 = 146,999.14 : x
  2. Step 2: Convert to fraction form
    260,178.82/359,053.78 = 146,999.14/x
  3. Step 3: Cross multiply
    260,178.82x = 359,053.78 × 146,999.14
  4. Step 4: Simplify right side
    260,178.82x = 52,780,596,873.75
  5. Step 5: Solve for x
    x = 52,780,596,873.75/260,178.82
  6. Step 6: Final answer
    x = 202,862.77

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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.