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Finding the Fourth Proportional to 259,833.44, 389,925.12 and 117,717.32

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Solution

The fourth proportional to 259,833.44, 389,925.12 and 117,717.32 is: 176,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,833.44 : 389,925.12 = 117,717.32 : x
  2. Step 2: Convert to fraction form
    259,833.44/389,925.12 = 117,717.32/x
  3. Step 3: Cross multiply
    259,833.44x = 389,925.12 × 117,717.32
  4. Step 4: Simplify right side
    259,833.44x = 45,900,940,127.08
  5. Step 5: Solve for x
    x = 45,900,940,127.08/259,833.44
  6. Step 6: Final answer
    x = 176,655.25

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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.