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Finding the Fourth Proportional to 223,533.24, 308,469.72 and 122,931.24

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Solution

The fourth proportional to 223,533.24, 308,469.72 and 122,931.24 is: 169,641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,533.24 : 308,469.72 = 122,931.24 : x
  2. Step 2: Convert to fraction form
    223,533.24/308,469.72 = 122,931.24/x
  3. Step 3: Cross multiply
    223,533.24x = 308,469.72 × 122,931.24
  4. Step 4: Simplify right side
    223,533.24x = 37,920,565,182.05
  5. Step 5: Solve for x
    x = 37,920,565,182.05/223,533.24
  6. Step 6: Final answer
    x = 169,641.73

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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.