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Finding the Fourth Proportional to 280,475.72, 387,106.38 and 165,749.48

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Solution

The fourth proportional to 280,475.72, 387,106.38 and 165,749.48 is: 228,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,475.72 : 387,106.38 = 165,749.48 : x
  2. Step 2: Convert to fraction form
    280,475.72/387,106.38 = 165,749.48/x
  3. Step 3: Cross multiply
    280,475.72x = 387,106.38 × 165,749.48
  4. Step 4: Simplify right side
    280,475.72x = 64,162,681,189.68
  5. Step 5: Solve for x
    x = 64,162,681,189.68/280,475.72
  6. Step 6: Final answer
    x = 228,763.76

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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.