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Finding the Fourth Proportional to 239,782.40, 359,731.52 and 90,024.32

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Solution

The fourth proportional to 239,782.40, 359,731.52 and 90,024.32 is: 135,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,782.40 : 359,731.52 = 90,024.32 : x
  2. Step 2: Convert to fraction form
    239,782.40/359,731.52 = 90,024.32/x
  3. Step 3: Cross multiply
    239,782.40x = 359,731.52 × 90,024.32
  4. Step 4: Simplify right side
    239,782.40x = 32,384,585,470.57
  5. Step 5: Solve for x
    x = 32,384,585,470.57/239,782.40
  6. Step 6: Final answer
    x = 135,058.23

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