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Finding the Fourth Proportional to 223,572.96, 308,596.32 and 132,992.64

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Solution

The fourth proportional to 223,572.96, 308,596.32 and 132,992.64 is: 183,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,572.96 : 308,596.32 = 132,992.64 : x
  2. Step 2: Convert to fraction form
    223,572.96/308,596.32 = 132,992.64/x
  3. Step 3: Cross multiply
    223,572.96x = 308,596.32 × 132,992.64
  4. Step 4: Simplify right side
    223,572.96x = 41,041,039,291.08
  5. Step 5: Solve for x
    x = 41,041,039,291.08/223,572.96
  6. Step 6: Final answer
    x = 183,568.89

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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.