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Finding the Fourth Proportional to 223,621.28, 335,565.84 and 83,478.32

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Solution

The fourth proportional to 223,621.28, 335,565.84 and 83,478.32 is: 125,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,621.28 : 335,565.84 = 83,478.32 : x
  2. Step 2: Convert to fraction form
    223,621.28/335,565.84 = 83,478.32/x
  3. Step 3: Cross multiply
    223,621.28x = 335,565.84 × 83,478.32
  4. Step 4: Simplify right side
    223,621.28x = 28,012,472,572.59
  5. Step 5: Solve for x
    x = 28,012,472,572.59/223,621.28
  6. Step 6: Final answer
    x = 125,267.47

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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.