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Finding the Fourth Proportional to 158,854.62, 219,268.60 and 102,266

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Solution

The fourth proportional to 158,854.62, 219,268.60 and 102,266 is: 141,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,854.62 : 219,268.60 = 102,266 : x
  2. Step 2: Convert to fraction form
    158,854.62/219,268.60 = 102,266/x
  3. Step 3: Cross multiply
    158,854.62x = 219,268.60 × 102,266
  4. Step 4: Simplify right side
    158,854.62x = 22,423,722,647.60
  5. Step 5: Solve for x
    x = 22,423,722,647.60/158,854.62
  6. Step 6: Final answer
    x = 141,158.77

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Why These Related Problems?

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