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Finding the Fourth Proportional to 159,622.53, 239,436.15 and 47,314.14

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Solution

The fourth proportional to 159,622.53, 239,436.15 and 47,314.14 is: 70,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,622.53 : 239,436.15 = 47,314.14 : x
  2. Step 2: Convert to fraction form
    159,622.53/239,436.15 = 47,314.14/x
  3. Step 3: Cross multiply
    159,622.53x = 239,436.15 × 47,314.14
  4. Step 4: Simplify right side
    159,622.53x = 11,328,715,522.16
  5. Step 5: Solve for x
    x = 11,328,715,522.16/159,622.53
  6. Step 6: Final answer
    x = 70,971.91

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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.