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Finding the Fourth Proportional to 223,060.32, 307,823.76 and 122,464.80

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Solution

The fourth proportional to 223,060.32, 307,823.76 and 122,464.80 is: 169,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,060.32 : 307,823.76 = 122,464.80 : x
  2. Step 2: Convert to fraction form
    223,060.32/307,823.76 = 122,464.80/x
  3. Step 3: Cross multiply
    223,060.32x = 307,823.76 × 122,464.80
  4. Step 4: Simplify right side
    223,060.32x = 37,697,575,203.65
  5. Step 5: Solve for x
    x = 37,697,575,203.65/223,060.32
  6. Step 6: Final answer
    x = 169,001.71

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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.