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Finding the Fourth Proportional to 229,200.80, 344,060.40 and 176,842.40

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Solution

The fourth proportional to 229,200.80, 344,060.40 and 176,842.40 is: 265,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,200.80 : 344,060.40 = 176,842.40 : x
  2. Step 2: Convert to fraction form
    229,200.80/344,060.40 = 176,842.40/x
  3. Step 3: Cross multiply
    229,200.80x = 344,060.40 × 176,842.40
  4. Step 4: Simplify right side
    229,200.80x = 60,844,466,880.96
  5. Step 5: Solve for x
    x = 60,844,466,880.96/229,200.80
  6. Step 6: Final answer
    x = 265,463.59

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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.