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Finding the Fourth Proportional to 213,801.93, 320,754.74 and 64,041.93

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Solution

The fourth proportional to 213,801.93, 320,754.74 and 64,041.93 is: 96,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,801.93 : 320,754.74 = 64,041.93 : x
  2. Step 2: Convert to fraction form
    213,801.93/320,754.74 = 64,041.93/x
  3. Step 3: Cross multiply
    213,801.93x = 320,754.74 × 64,041.93
  4. Step 4: Simplify right side
    213,801.93x = 20,541,752,606.25
  5. Step 5: Solve for x
    x = 20,541,752,606.25/213,801.93
  6. Step 6: Final answer
    x = 96,078.42

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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.