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Finding the Fourth Proportional to 146,271.16, 219,240.82 and 67,222

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Solution

The fourth proportional to 146,271.16, 219,240.82 and 67,222 is: 100,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,271.16 : 219,240.82 = 67,222 : x
  2. Step 2: Convert to fraction form
    146,271.16/219,240.82 = 67,222/x
  3. Step 3: Cross multiply
    146,271.16x = 219,240.82 × 67,222
  4. Step 4: Simplify right side
    146,271.16x = 14,737,806,402.04
  5. Step 5: Solve for x
    x = 14,737,806,402.04/146,271.16
  6. Step 6: Final answer
    x = 100,756.75

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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.