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Finding the Fourth Proportional to 158,878.16, 219,251.82 and 87,258.20

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Solution

The fourth proportional to 158,878.16, 219,251.82 and 87,258.20 is: 120,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,878.16 : 219,251.82 = 87,258.20 : x
  2. Step 2: Convert to fraction form
    158,878.16/219,251.82 = 87,258.20/x
  3. Step 3: Cross multiply
    158,878.16x = 219,251.82 × 87,258.20
  4. Step 4: Simplify right side
    158,878.16x = 19,131,519,159.92
  5. Step 5: Solve for x
    x = 19,131,519,159.92/158,878.16
  6. Step 6: Final answer
    x = 120,416.29

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