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Finding the Fourth Proportional to 140,306.85, 210,304.76 and 84,222.45

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Solution

The fourth proportional to 140,306.85, 210,304.76 and 84,222.45 is: 126,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,306.85 : 210,304.76 = 84,222.45 : x
  2. Step 2: Convert to fraction form
    140,306.85/210,304.76 = 84,222.45/x
  3. Step 3: Cross multiply
    140,306.85x = 210,304.76 × 84,222.45
  4. Step 4: Simplify right side
    140,306.85x = 17,712,381,712.75
  5. Step 5: Solve for x
    x = 17,712,381,712.75/140,306.85
  6. Step 6: Final answer
    x = 126,240.32

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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.