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Finding the Fourth Proportional to 137,904.98, 206,940.08 and 59,019.28

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Solution

The fourth proportional to 137,904.98, 206,940.08 and 59,019.28 is: 88,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,904.98 : 206,940.08 = 59,019.28 : x
  2. Step 2: Convert to fraction form
    137,904.98/206,940.08 = 59,019.28/x
  3. Step 3: Cross multiply
    137,904.98x = 206,940.08 × 59,019.28
  4. Step 4: Simplify right side
    137,904.98x = 12,213,454,524.74
  5. Step 5: Solve for x
    x = 12,213,454,524.74/137,904.98
  6. Step 6: Final answer
    x = 88,564.27

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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.