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Finding the Fourth Proportional to 227,298.65, 313,595.96 and 146,780.60

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Solution

The fourth proportional to 227,298.65, 313,595.96 and 146,780.60 is: 202,508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,298.65 : 313,595.96 = 146,780.60 : x
  2. Step 2: Convert to fraction form
    227,298.65/313,595.96 = 146,780.60/x
  3. Step 3: Cross multiply
    227,298.65x = 313,595.96 × 146,780.60
  4. Step 4: Simplify right side
    227,298.65x = 46,029,800,864.49
  5. Step 5: Solve for x
    x = 46,029,800,864.49/227,298.65
  6. Step 6: Final answer
    x = 202,508.03

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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.