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Finding the Fourth Proportional to 229,425.20, 344,137.80 and 176,937.20

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Solution

The fourth proportional to 229,425.20, 344,137.80 and 176,937.20 is: 265,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,425.20 : 344,137.80 = 176,937.20 : x
  2. Step 2: Convert to fraction form
    229,425.20/344,137.80 = 176,937.20/x
  3. Step 3: Cross multiply
    229,425.20x = 344,137.80 × 176,937.20
  4. Step 4: Simplify right side
    229,425.20x = 60,890,778,746.16
  5. Step 5: Solve for x
    x = 60,890,778,746.16/229,425.20
  6. Step 6: Final answer
    x = 265,405.80

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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.