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Finding the Fourth Proportional to 140,705.88, 211,052.28 and 51,953.64

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Solution

The fourth proportional to 140,705.88, 211,052.28 and 51,953.64 is: 77,928.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,705.88 : 211,052.28 = 51,953.64 : x
  2. Step 2: Convert to fraction form
    140,705.88/211,052.28 = 51,953.64/x
  3. Step 3: Cross multiply
    140,705.88x = 211,052.28 × 51,953.64
  4. Step 4: Simplify right side
    140,705.88x = 10,964,934,176.30
  5. Step 5: Solve for x
    x = 10,964,934,176.30/140,705.88
  6. Step 6: Final answer
    x = 77,928.05

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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.