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Finding the Fourth Proportional to 223,921.72, 335,970.12 and 83,647.60

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Solution

The fourth proportional to 223,921.72, 335,970.12 and 83,647.60 is: 125,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,921.72 : 335,970.12 = 83,647.60 : x
  2. Step 2: Convert to fraction form
    223,921.72/335,970.12 = 83,647.60/x
  3. Step 3: Cross multiply
    223,921.72x = 335,970.12 × 83,647.60
  4. Step 4: Simplify right side
    223,921.72x = 28,103,094,209.71
  5. Step 5: Solve for x
    x = 28,103,094,209.71/223,921.72
  6. Step 6: Final answer
    x = 125,504.10

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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.