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Finding the Fourth Proportional to 157,843.83, 217,381.66 and 147,713.01

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Solution

The fourth proportional to 157,843.83, 217,381.66 and 147,713.01 is: 203,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,843.83 : 217,381.66 = 147,713.01 : x
  2. Step 2: Convert to fraction form
    157,843.83/217,381.66 = 147,713.01/x
  3. Step 3: Cross multiply
    157,843.83x = 217,381.66 × 147,713.01
  4. Step 4: Simplify right side
    157,843.83x = 32,110,099,317.40
  5. Step 5: Solve for x
    x = 32,110,099,317.40/157,843.83
  6. Step 6: Final answer
    x = 203,429.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.