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Finding the Fourth Proportional to 223,674.24, 308,676.24 and 121,706.16

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Solution

The fourth proportional to 223,674.24, 308,676.24 and 121,706.16 is: 167,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,674.24 : 308,676.24 = 121,706.16 : x
  2. Step 2: Convert to fraction form
    223,674.24/308,676.24 = 121,706.16/x
  3. Step 3: Cross multiply
    223,674.24x = 308,676.24 × 121,706.16
  4. Step 4: Simplify right side
    223,674.24x = 37,567,799,853.64
  5. Step 5: Solve for x
    x = 37,567,799,853.64/223,674.24
  6. Step 6: Final answer
    x = 167,957.65

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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.