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Finding the Fourth Proportional to 199,922.30, 299,898.93 and 66,803.02

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Solution

The fourth proportional to 199,922.30, 299,898.93 and 66,803.02 is: 100,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,922.30 : 299,898.93 = 66,803.02 : x
  2. Step 2: Convert to fraction form
    199,922.30/299,898.93 = 66,803.02/x
  3. Step 3: Cross multiply
    199,922.30x = 299,898.93 × 66,803.02
  4. Step 4: Simplify right side
    199,922.30x = 20,034,154,218.77
  5. Step 5: Solve for x
    x = 20,034,154,218.77/199,922.30
  6. Step 6: Final answer
    x = 100,209.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.