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Finding the Fourth Proportional to 280,101.23, 386,572.38 and 159,260.63

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Solution

The fourth proportional to 280,101.23, 386,572.38 and 159,260.63 is: 219,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,101.23 : 386,572.38 = 159,260.63 : x
  2. Step 2: Convert to fraction form
    280,101.23/386,572.38 = 159,260.63/x
  3. Step 3: Cross multiply
    280,101.23x = 386,572.38 × 159,260.63
  4. Step 4: Simplify right side
    280,101.23x = 61,565,758,846.54
  5. Step 5: Solve for x
    x = 61,565,758,846.54/280,101.23
  6. Step 6: Final answer
    x = 219,798.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.