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Finding the Fourth Proportional to 165,305.16, 247,864.41 and 151,199.01

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Solution

The fourth proportional to 165,305.16, 247,864.41 and 151,199.01 is: 226,713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,305.16 : 247,864.41 = 151,199.01 : x
  2. Step 2: Convert to fraction form
    165,305.16/247,864.41 = 151,199.01/x
  3. Step 3: Cross multiply
    165,305.16x = 247,864.41 × 151,199.01
  4. Step 4: Simplify right side
    165,305.16x = 37,476,853,406.23
  5. Step 5: Solve for x
    x = 37,476,853,406.23/165,305.16
  6. Step 6: Final answer
    x = 226,713.15

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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.