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Finding the Fourth Proportional to 144,197.01, 198,990.74 and 83,803.01

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Solution

The fourth proportional to 144,197.01, 198,990.74 and 83,803.01 is: 115,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,197.01 : 198,990.74 = 83,803.01 : x
  2. Step 2: Convert to fraction form
    144,197.01/198,990.74 = 83,803.01/x
  3. Step 3: Cross multiply
    144,197.01x = 198,990.74 × 83,803.01
  4. Step 4: Simplify right side
    144,197.01x = 16,676,022,188.68
  5. Step 5: Solve for x
    x = 16,676,022,188.68/144,197.01
  6. Step 6: Final answer
    x = 115,647.49

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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.