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Finding the Fourth Proportional to 229,290.98, 344,009.11 and 178,862.90

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Solution

The fourth proportional to 229,290.98, 344,009.11 and 178,862.90 is: 268,351.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,290.98 : 344,009.11 = 178,862.90 : x
  2. Step 2: Convert to fraction form
    229,290.98/344,009.11 = 178,862.90/x
  3. Step 3: Cross multiply
    229,290.98x = 344,009.11 × 178,862.90
  4. Step 4: Simplify right side
    229,290.98x = 61,530,464,873.82
  5. Step 5: Solve for x
    x = 61,530,464,873.82/229,290.98
  6. Step 6: Final answer
    x = 268,351.01

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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.