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Finding the Fourth Proportional to 140,302.46, 210,481.14 and 51,556.70

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Solution

The fourth proportional to 140,302.46, 210,481.14 and 51,556.70 is: 77,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,302.46 : 210,481.14 = 51,556.70 : x
  2. Step 2: Convert to fraction form
    140,302.46/210,481.14 = 51,556.70/x
  3. Step 3: Cross multiply
    140,302.46x = 210,481.14 × 51,556.70
  4. Step 4: Simplify right side
    140,302.46x = 10,851,712,990.64
  5. Step 5: Solve for x
    x = 10,851,712,990.64/140,302.46
  6. Step 6: Final answer
    x = 77,345.14

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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.