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Finding the Fourth Proportional to 239,804.16, 359,712 and 82,031.52

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Solution

The fourth proportional to 239,804.16, 359,712 and 82,031.52 is: 123,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,804.16 : 359,712 = 82,031.52 : x
  2. Step 2: Convert to fraction form
    239,804.16/359,712 = 82,031.52/x
  3. Step 3: Cross multiply
    239,804.16x = 359,712 × 82,031.52
  4. Step 4: Simplify right side
    239,804.16x = 29,507,722,122.24
  5. Step 5: Solve for x
    x = 29,507,722,122.24/239,804.16
  6. Step 6: Final answer
    x = 123,049.25

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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.