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Finding the Fourth Proportional to 199,177.40, 299,111.70 and 105,865.40

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Solution

The fourth proportional to 199,177.40, 299,111.70 and 105,865.40 is: 158,981.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,177.40 : 299,111.70 = 105,865.40 : x
  2. Step 2: Convert to fraction form
    199,177.40/299,111.70 = 105,865.40/x
  3. Step 3: Cross multiply
    199,177.40x = 299,111.70 × 105,865.40
  4. Step 4: Simplify right side
    199,177.40x = 31,665,579,765.18
  5. Step 5: Solve for x
    x = 31,665,579,765.18/199,177.40
  6. Step 6: Final answer
    x = 158,981.79

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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.