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Finding the Fourth Proportional to 140,662.71, 194,117.99 and 77,000.36

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Solution

The fourth proportional to 140,662.71, 194,117.99 and 77,000.36 is: 106,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,662.71 : 194,117.99 = 77,000.36 : x
  2. Step 2: Convert to fraction form
    140,662.71/194,117.99 = 77,000.36/x
  3. Step 3: Cross multiply
    140,662.71x = 194,117.99 × 77,000.36
  4. Step 4: Simplify right side
    140,662.71x = 14,947,153,756.88
  5. Step 5: Solve for x
    x = 14,947,153,756.88/140,662.71
  6. Step 6: Final answer
    x = 106,262.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.