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Finding the Fourth Proportional to 205,054.30, 307,624.65 and 86,664.70

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Solution

The fourth proportional to 205,054.30, 307,624.65 and 86,664.70 is: 130,015.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,054.30 : 307,624.65 = 86,664.70 : x
  2. Step 2: Convert to fraction form
    205,054.30/307,624.65 = 86,664.70/x
  3. Step 3: Cross multiply
    205,054.30x = 307,624.65 × 86,664.70
  4. Step 4: Simplify right side
    205,054.30x = 26,660,198,004.86
  5. Step 5: Solve for x
    x = 26,660,198,004.86/205,054.30
  6. Step 6: Final answer
    x = 130,015.31

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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.