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Finding the Fourth Proportional to 238,388.22, 357,894.84 and 159,853.86

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Solution

The fourth proportional to 238,388.22, 357,894.84 and 159,853.86 is: 239,990.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,388.22 : 357,894.84 = 159,853.86 : x
  2. Step 2: Convert to fraction form
    238,388.22/357,894.84 = 159,853.86/x
  3. Step 3: Cross multiply
    238,388.22x = 357,894.84 × 159,853.86
  4. Step 4: Simplify right side
    238,388.22x = 57,210,871,648.08
  5. Step 5: Solve for x
    x = 57,210,871,648.08/238,388.22
  6. Step 6: Final answer
    x = 239,990.35

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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.