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Finding the Fourth Proportional to 140,937.93, 194,519.21 and 84,349.17

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Solution

The fourth proportional to 140,937.93, 194,519.21 and 84,349.17 is: 116,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,937.93 : 194,519.21 = 84,349.17 : x
  2. Step 2: Convert to fraction form
    140,937.93/194,519.21 = 84,349.17/x
  3. Step 3: Cross multiply
    140,937.93x = 194,519.21 × 84,349.17
  4. Step 4: Simplify right side
    140,937.93x = 16,407,533,490.81
  5. Step 5: Solve for x
    x = 16,407,533,490.81/140,937.93
  6. Step 6: Final answer
    x = 116,416.73

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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.