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Finding the Fourth Proportional to 290,231.83, 435,472.49 and 150,088.87

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Solution

The fourth proportional to 290,231.83, 435,472.49 and 150,088.87 is: 225,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,231.83 : 435,472.49 = 150,088.87 : x
  2. Step 2: Convert to fraction form
    290,231.83/435,472.49 = 150,088.87/x
  3. Step 3: Cross multiply
    290,231.83x = 435,472.49 × 150,088.87
  4. Step 4: Simplify right side
    290,231.83x = 65,359,573,940.19
  5. Step 5: Solve for x
    x = 65,359,573,940.19/290,231.83
  6. Step 6: Final answer
    x = 225,197.81

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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.