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Finding the Fourth Proportional to 223,746.44, 335,608.72 and 83,494.13

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Solution

The fourth proportional to 223,746.44, 335,608.72 and 83,494.13 is: 125,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,746.44 : 335,608.72 = 83,494.13 : x
  2. Step 2: Convert to fraction form
    223,746.44/335,608.72 = 83,494.13/x
  3. Step 3: Cross multiply
    223,746.44x = 335,608.72 × 83,494.13
  4. Step 4: Simplify right side
    223,746.44x = 28,021,356,210.03
  5. Step 5: Solve for x
    x = 28,021,356,210.03/223,746.44
  6. Step 6: Final answer
    x = 125,237.11

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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.