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Finding the Fourth Proportional to 159,441.30, 238,701.15 and 97,233.30

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Solution

The fourth proportional to 159,441.30, 238,701.15 and 97,233.30 is: 145,568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,441.30 : 238,701.15 = 97,233.30 : x
  2. Step 2: Convert to fraction form
    159,441.30/238,701.15 = 97,233.30/x
  3. Step 3: Cross multiply
    159,441.30x = 238,701.15 × 97,233.30
  4. Step 4: Simplify right side
    159,441.30x = 23,209,700,528.30
  5. Step 5: Solve for x
    x = 23,209,700,528.30/159,441.30
  6. Step 6: Final answer
    x = 145,568.94

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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.