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Finding the Fourth Proportional to 159,036.84, 238,565.34 and 52,427.88

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Solution

The fourth proportional to 159,036.84, 238,565.34 and 52,427.88 is: 78,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,036.84 : 238,565.34 = 52,427.88 : x
  2. Step 2: Convert to fraction form
    159,036.84/238,565.34 = 52,427.88/x
  3. Step 3: Cross multiply
    159,036.84x = 238,565.34 × 52,427.88
  4. Step 4: Simplify right side
    159,036.84x = 12,507,475,017.68
  5. Step 5: Solve for x
    x = 12,507,475,017.68/159,036.84
  6. Step 6: Final answer
    x = 78,645.14

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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.