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Finding the Fourth Proportional to 99,983.71, 149,093.71 and 99,083.60

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Solution

The fourth proportional to 99,983.71, 149,093.71 and 99,083.60 is: 147,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,983.71 : 149,093.71 = 99,083.60 : x
  2. Step 2: Convert to fraction form
    99,983.71/149,093.71 = 99,083.60/x
  3. Step 3: Cross multiply
    99,983.71x = 149,093.71 × 99,083.60
  4. Step 4: Simplify right side
    99,983.71x = 14,772,741,524.16
  5. Step 5: Solve for x
    x = 14,772,741,524.16/99,983.71
  6. Step 6: Final answer
    x = 147,751.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.