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Finding the Fourth Proportional to 223,838.56, 335,746.90 and 83,586.25

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Solution

The fourth proportional to 223,838.56, 335,746.90 and 83,586.25 is: 125,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,838.56 : 335,746.90 = 83,586.25 : x
  2. Step 2: Convert to fraction form
    223,838.56/335,746.90 = 83,586.25/x
  3. Step 3: Cross multiply
    223,838.56x = 335,746.90 × 83,586.25
  4. Step 4: Simplify right side
    223,838.56x = 28,063,824,320.13
  5. Step 5: Solve for x
    x = 28,063,824,320.13/223,838.56
  6. Step 6: Final answer
    x = 125,375.29

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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.