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Finding the Fourth Proportional to 137,411.93, 206,069.30 and 65,356.36

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Solution

The fourth proportional to 137,411.93, 206,069.30 and 65,356.36 is: 98,011.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,411.93 : 206,069.30 = 65,356.36 : x
  2. Step 2: Convert to fraction form
    137,411.93/206,069.30 = 65,356.36/x
  3. Step 3: Cross multiply
    137,411.93x = 206,069.30 × 65,356.36
  4. Step 4: Simplify right side
    137,411.93x = 13,467,939,355.75
  5. Step 5: Solve for x
    x = 13,467,939,355.75/137,411.93
  6. Step 6: Final answer
    x = 98,011.43

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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.