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Finding the Fourth Proportional to 140,306.81, 210,512.50 and 84,187.20

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Solution

The fourth proportional to 140,306.81, 210,512.50 and 84,187.20 is: 126,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,306.81 : 210,512.50 = 84,187.20 : x
  2. Step 2: Convert to fraction form
    140,306.81/210,512.50 = 84,187.20/x
  3. Step 3: Cross multiply
    140,306.81x = 210,512.50 × 84,187.20
  4. Step 4: Simplify right side
    140,306.81x = 17,722,457,897.17
  5. Step 5: Solve for x
    x = 17,722,457,897.17/140,306.81
  6. Step 6: Final answer
    x = 126,312.17

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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.