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Finding the Fourth Proportional to 140,605.66, 194,029.59 and 76,946.14

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Solution

The fourth proportional to 140,605.66, 194,029.59 and 76,946.14 is: 106,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,605.66 : 194,029.59 = 76,946.14 : x
  2. Step 2: Convert to fraction form
    140,605.66/194,029.59 = 76,946.14/x
  3. Step 3: Cross multiply
    140,605.66x = 194,029.59 × 76,946.14
  4. Step 4: Simplify right side
    140,605.66x = 14,929,827,996.28
  5. Step 5: Solve for x
    x = 14,929,827,996.28/140,605.66
  6. Step 6: Final answer
    x = 106,182.27

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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.