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Finding the Fourth Proportional to 213,006.60, 293,948.46 and 117,523.80

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Solution

The fourth proportional to 213,006.60, 293,948.46 and 117,523.80 is: 162,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,006.60 : 293,948.46 = 117,523.80 : x
  2. Step 2: Convert to fraction form
    213,006.60/293,948.46 = 117,523.80/x
  3. Step 3: Cross multiply
    213,006.60x = 293,948.46 × 117,523.80
  4. Step 4: Simplify right side
    213,006.60x = 34,545,940,023.35
  5. Step 5: Solve for x
    x = 34,545,940,023.35/213,006.60
  6. Step 6: Final answer
    x = 162,182.49

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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.