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Finding the Fourth Proportional to 140,034.30, 210,051.45 and 51,258.30

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Solution

The fourth proportional to 140,034.30, 210,051.45 and 51,258.30 is: 76,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,034.30 : 210,051.45 = 51,258.30 : x
  2. Step 2: Convert to fraction form
    140,034.30/210,051.45 = 51,258.30/x
  3. Step 3: Cross multiply
    140,034.30x = 210,051.45 × 51,258.30
  4. Step 4: Simplify right side
    140,034.30x = 10,766,880,239.54
  5. Step 5: Solve for x
    x = 10,766,880,239.54/140,034.30
  6. Step 6: Final answer
    x = 76,887.45

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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.