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Finding the Fourth Proportional to 213,801.60, 320,612.14 and 64,063.16

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Solution

The fourth proportional to 213,801.60, 320,612.14 and 64,063.16 is: 96,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,801.60 : 320,612.14 = 64,063.16 : x
  2. Step 2: Convert to fraction form
    213,801.60/320,612.14 = 64,063.16/x
  3. Step 3: Cross multiply
    213,801.60x = 320,612.14 × 64,063.16
  4. Step 4: Simplify right side
    213,801.60x = 20,539,426,822.76
  5. Step 5: Solve for x
    x = 20,539,426,822.76/213,801.60
  6. Step 6: Final answer
    x = 96,067.69

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1.5x scale

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.