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Finding the Fourth Proportional to 203,904.11, 305,856.37 and 77,514.68

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Solution

The fourth proportional to 203,904.11, 305,856.37 and 77,514.68 is: 116,272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,904.11 : 305,856.37 = 77,514.68 : x
  2. Step 2: Convert to fraction form
    203,904.11/305,856.37 = 77,514.68/x
  3. Step 3: Cross multiply
    203,904.11x = 305,856.37 × 77,514.68
  4. Step 4: Simplify right side
    203,904.11x = 23,708,358,646.51
  5. Step 5: Solve for x
    x = 23,708,358,646.51/203,904.11
  6. Step 6: Final answer
    x = 116,272.10

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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.