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Finding the Fourth Proportional to 229,395.20, 344,092.80 and 176,907.20

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Solution

The fourth proportional to 229,395.20, 344,092.80 and 176,907.20 is: 265,360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,395.20 : 344,092.80 = 176,907.20 : x
  2. Step 2: Convert to fraction form
    229,395.20/344,092.80 = 176,907.20/x
  3. Step 3: Cross multiply
    229,395.20x = 344,092.80 × 176,907.20
  4. Step 4: Simplify right side
    229,395.20x = 60,872,493,788.16
  5. Step 5: Solve for x
    x = 60,872,493,788.16/229,395.20
  6. Step 6: Final answer
    x = 265,360.80

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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.