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Finding the Fourth Proportional to 159,119.38, 238,659.62 and 65,612.98

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Solution

The fourth proportional to 159,119.38, 238,659.62 and 65,612.98 is: 98,411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,119.38 : 238,659.62 = 65,612.98 : x
  2. Step 2: Convert to fraction form
    159,119.38/238,659.62 = 65,612.98/x
  3. Step 3: Cross multiply
    159,119.38x = 238,659.62 × 65,612.98
  4. Step 4: Simplify right side
    159,119.38x = 15,659,168,873.87
  5. Step 5: Solve for x
    x = 15,659,168,873.87/159,119.38
  6. Step 6: Final answer
    x = 98,411.45

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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.