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Finding the Fourth Proportional to 206,864.10, 310,332.60 and 73,821.60

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Solution

The fourth proportional to 206,864.10, 310,332.60 and 73,821.60 is: 110,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,864.10 : 310,332.60 = 73,821.60 : x
  2. Step 2: Convert to fraction form
    206,864.10/310,332.60 = 73,821.60/x
  3. Step 3: Cross multiply
    206,864.10x = 310,332.60 × 73,821.60
  4. Step 4: Simplify right side
    206,864.10x = 22,909,249,064.16
  5. Step 5: Solve for x
    x = 22,909,249,064.16/206,864.10
  6. Step 6: Final answer
    x = 110,745.41

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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.