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Finding the Fourth Proportional to 223,228.16, 334,842.88 and 54,749.28

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Solution

The fourth proportional to 223,228.16, 334,842.88 and 54,749.28 is: 82,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,228.16 : 334,842.88 = 54,749.28 : x
  2. Step 2: Convert to fraction form
    223,228.16/334,842.88 = 54,749.28/x
  3. Step 3: Cross multiply
    223,228.16x = 334,842.88 × 54,749.28
  4. Step 4: Simplify right side
    223,228.16x = 18,332,406,593.13
  5. Step 5: Solve for x
    x = 18,332,406,593.13/223,228.16
  6. Step 6: Final answer
    x = 82,124.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.