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Finding the Fourth Proportional to 158,721.50, 238,082.25 and 47,913.50

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Solution

The fourth proportional to 158,721.50, 238,082.25 and 47,913.50 is: 71,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,721.50 : 238,082.25 = 47,913.50 : x
  2. Step 2: Convert to fraction form
    158,721.50/238,082.25 = 47,913.50/x
  3. Step 3: Cross multiply
    158,721.50x = 238,082.25 × 47,913.50
  4. Step 4: Simplify right side
    158,721.50x = 11,407,353,885.38
  5. Step 5: Solve for x
    x = 11,407,353,885.38/158,721.50
  6. Step 6: Final answer
    x = 71,870.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.