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Finding the Fourth Proportional to 140,876.74, 211,384.45 and 65,983.94

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Solution

The fourth proportional to 140,876.74, 211,384.45 and 65,983.94 is: 99,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,876.74 : 211,384.45 = 65,983.94 : x
  2. Step 2: Convert to fraction form
    140,876.74/211,384.45 = 65,983.94/x
  3. Step 3: Cross multiply
    140,876.74x = 211,384.45 × 65,983.94
  4. Step 4: Simplify right side
    140,876.74x = 13,947,977,643.85
  5. Step 5: Solve for x
    x = 13,947,977,643.85/140,876.74
  6. Step 6: Final answer
    x = 99,008.38

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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.