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Finding the Fourth Proportional to 159,870.30, 239,344.65 and 97,662.30

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Solution

The fourth proportional to 159,870.30, 239,344.65 and 97,662.30 is: 146,211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,870.30 : 239,344.65 = 97,662.30 : x
  2. Step 2: Convert to fraction form
    159,870.30/239,344.65 = 97,662.30/x
  3. Step 3: Cross multiply
    159,870.30x = 239,344.65 × 97,662.30
  4. Step 4: Simplify right side
    159,870.30x = 23,374,949,011.70
  5. Step 5: Solve for x
    x = 23,374,949,011.70/159,870.30
  6. Step 6: Final answer
    x = 146,211.95

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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.