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Finding the Fourth Proportional to 140,501.70, 193,895.19 and 76,843.59

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Solution

The fourth proportional to 140,501.70, 193,895.19 and 76,843.59 is: 106,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,501.70 : 193,895.19 = 76,843.59 : x
  2. Step 2: Convert to fraction form
    140,501.70/193,895.19 = 76,843.59/x
  3. Step 3: Cross multiply
    140,501.70x = 193,895.19 × 76,843.59
  4. Step 4: Simplify right side
    140,501.70x = 14,899,602,483.33
  5. Step 5: Solve for x
    x = 14,899,602,483.33/140,501.70
  6. Step 6: Final answer
    x = 106,045.71

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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.