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Finding the Fourth Proportional to 208,713.42, 288,024.60 and 118,067.46

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Solution

The fourth proportional to 208,713.42, 288,024.60 and 118,067.46 is: 162,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,713.42 : 288,024.60 = 118,067.46 : x
  2. Step 2: Convert to fraction form
    208,713.42/288,024.60 = 118,067.46/x
  3. Step 3: Cross multiply
    208,713.42x = 288,024.60 × 118,067.46
  4. Step 4: Simplify right side
    208,713.42x = 34,006,332,939.52
  5. Step 5: Solve for x
    x = 34,006,332,939.52/208,713.42
  6. Step 6: Final answer
    x = 162,933.14

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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.