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Finding the Fourth Proportional to 158,848.32, 238,155.84 and 75,800.64

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Solution

The fourth proportional to 158,848.32, 238,155.84 and 75,800.64 is: 113,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,848.32 : 238,155.84 = 75,800.64 : x
  2. Step 2: Convert to fraction form
    158,848.32/238,155.84 = 75,800.64/x
  3. Step 3: Cross multiply
    158,848.32x = 238,155.84 × 75,800.64
  4. Step 4: Simplify right side
    158,848.32x = 18,052,365,091.74
  5. Step 5: Solve for x
    x = 18,052,365,091.74/158,848.32
  6. Step 6: Final answer
    x = 113,645.30

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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.