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Finding the Fourth Proportional to 159,283.88, 238,960.40 and 48,473

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Solution

The fourth proportional to 159,283.88, 238,960.40 and 48,473 is: 72,720.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,283.88 : 238,960.40 = 48,473 : x
  2. Step 2: Convert to fraction form
    159,283.88/238,960.40 = 48,473/x
  3. Step 3: Cross multiply
    159,283.88x = 238,960.40 × 48,473
  4. Step 4: Simplify right side
    159,283.88x = 11,583,127,469.20
  5. Step 5: Solve for x
    x = 11,583,127,469.20/159,283.88
  6. Step 6: Final answer
    x = 72,720.02

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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.