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Finding the Fourth Proportional to 204,723.86, 307,088.52 and 86,478.23

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Solution

The fourth proportional to 204,723.86, 307,088.52 and 86,478.23 is: 129,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,723.86 : 307,088.52 = 86,478.23 : x
  2. Step 2: Convert to fraction form
    204,723.86/307,088.52 = 86,478.23/x
  3. Step 3: Cross multiply
    204,723.86x = 307,088.52 × 86,478.23
  4. Step 4: Simplify right side
    204,723.86x = 26,556,472,106.35
  5. Step 5: Solve for x
    x = 26,556,472,106.35/204,723.86
  6. Step 6: Final answer
    x = 129,718.50

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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.