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Finding the Fourth Proportional to 140,786, 194,289.53 and 77,123.80

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Solution

The fourth proportional to 140,786, 194,289.53 and 77,123.80 is: 106,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,786 : 194,289.53 = 77,123.80 : x
  2. Step 2: Convert to fraction form
    140,786/194,289.53 = 77,123.80/x
  3. Step 3: Cross multiply
    140,786x = 194,289.53 × 77,123.80
  4. Step 4: Simplify right side
    140,786x = 14,984,346,853.81
  5. Step 5: Solve for x
    x = 14,984,346,853.81/140,786
  6. Step 6: Final answer
    x = 106,433.50

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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.