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Finding the Fourth Proportional to 223,749.81, 335,613.78 and 83,497.50

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Solution

The fourth proportional to 223,749.81, 335,613.78 and 83,497.50 is: 125,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,749.81 : 335,613.78 = 83,497.50 : x
  2. Step 2: Convert to fraction form
    223,749.81/335,613.78 = 83,497.50/x
  3. Step 3: Cross multiply
    223,749.81x = 335,613.78 × 83,497.50
  4. Step 4: Simplify right side
    223,749.81x = 28,022,911,595.55
  5. Step 5: Solve for x
    x = 28,022,911,595.55/223,749.81
  6. Step 6: Final answer
    x = 125,242.17

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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.