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Finding the Fourth Proportional to 140,287.80, 210,431.70 and 70,141.80

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Solution

The fourth proportional to 140,287.80, 210,431.70 and 70,141.80 is: 105,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,287.80 : 210,431.70 = 70,141.80 : x
  2. Step 2: Convert to fraction form
    140,287.80/210,431.70 = 70,141.80/x
  3. Step 3: Cross multiply
    140,287.80x = 210,431.70 × 70,141.80
  4. Step 4: Simplify right side
    140,287.80x = 14,760,058,215.06
  5. Step 5: Solve for x
    x = 14,760,058,215.06/140,287.80
  6. Step 6: Final answer
    x = 105,212.70

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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.