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Finding the Fourth Proportional to 140,674.44, 210,988.86 and 51,969.72

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Solution

The fourth proportional to 140,674.44, 210,988.86 and 51,969.72 is: 77,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,674.44 : 210,988.86 = 51,969.72 : x
  2. Step 2: Convert to fraction form
    140,674.44/210,988.86 = 51,969.72/x
  3. Step 3: Cross multiply
    140,674.44x = 210,988.86 × 51,969.72
  4. Step 4: Simplify right side
    140,674.44x = 10,965,031,977.32
  5. Step 5: Solve for x
    x = 10,965,031,977.32/140,674.44
  6. Step 6: Final answer
    x = 77,946.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.