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Finding the Fourth Proportional to 290,510.09, 435,790.24 and 80,148.03

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Solution

The fourth proportional to 290,510.09, 435,790.24 and 80,148.03 is: 120,228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,510.09 : 435,790.24 = 80,148.03 : x
  2. Step 2: Convert to fraction form
    290,510.09/435,790.24 = 80,148.03/x
  3. Step 3: Cross multiply
    290,510.09x = 435,790.24 × 80,148.03
  4. Step 4: Simplify right side
    290,510.09x = 34,927,729,229.23
  5. Step 5: Solve for x
    x = 34,927,729,229.23/290,510.09
  6. Step 6: Final answer
    x = 120,228.97

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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.