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Finding the Fourth Proportional to 199,903.56, 299,707.65 and 94,599.24

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Solution

The fourth proportional to 199,903.56, 299,707.65 and 94,599.24 is: 141,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,903.56 : 299,707.65 = 94,599.24 : x
  2. Step 2: Convert to fraction form
    199,903.56/299,707.65 = 94,599.24/x
  3. Step 3: Cross multiply
    199,903.56x = 299,707.65 × 94,599.24
  4. Step 4: Simplify right side
    199,903.56x = 28,352,115,912.19
  5. Step 5: Solve for x
    x = 28,352,115,912.19/199,903.56
  6. Step 6: Final answer
    x = 141,828.97

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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.