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Finding the Fourth Proportional to 140,316.50, 210,343.53 and 51,546.17

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Solution

The fourth proportional to 140,316.50, 210,343.53 and 51,546.17 is: 77,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,316.50 : 210,343.53 = 51,546.17 : x
  2. Step 2: Convert to fraction form
    140,316.50/210,343.53 = 51,546.17/x
  3. Step 3: Cross multiply
    140,316.50x = 210,343.53 × 51,546.17
  4. Step 4: Simplify right side
    140,316.50x = 10,842,402,046.33
  5. Step 5: Solve for x
    x = 10,842,402,046.33/140,316.50
  6. Step 6: Final answer
    x = 77,271.04

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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.