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Finding the Fourth Proportional to 144,343.76, 199,193.16 and 83,101.94

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Solution

The fourth proportional to 144,343.76, 199,193.16 and 83,101.94 is: 114,679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,343.76 : 199,193.16 = 83,101.94 : x
  2. Step 2: Convert to fraction form
    144,343.76/199,193.16 = 83,101.94/x
  3. Step 3: Cross multiply
    144,343.76x = 199,193.16 × 83,101.94
  4. Step 4: Simplify right side
    144,343.76x = 16,553,338,030.73
  5. Step 5: Solve for x
    x = 16,553,338,030.73/144,343.76
  6. Step 6: Final answer
    x = 114,679.97

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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.