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Finding the Fourth Proportional to 208,882.96, 288,261.48 and 113,389.84

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Solution

The fourth proportional to 208,882.96, 288,261.48 and 113,389.84 is: 156,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,882.96 : 288,261.48 = 113,389.84 : x
  2. Step 2: Convert to fraction form
    208,882.96/288,261.48 = 113,389.84/x
  3. Step 3: Cross multiply
    208,882.96x = 288,261.48 × 113,389.84
  4. Step 4: Simplify right side
    208,882.96x = 32,685,923,095.36
  5. Step 5: Solve for x
    x = 32,685,923,095.36/208,882.96
  6. Step 6: Final answer
    x = 156,479.61

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1.5x scale

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.