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Finding the Fourth Proportional to 137,336.10, 205,087.82 and 107,417.94

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Solution

The fourth proportional to 137,336.10, 205,087.82 and 107,417.94 is: 160,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,336.10 : 205,087.82 = 107,417.94 : x
  2. Step 2: Convert to fraction form
    137,336.10/205,087.82 = 107,417.94/x
  3. Step 3: Cross multiply
    137,336.10x = 205,087.82 × 107,417.94
  4. Step 4: Simplify right side
    137,336.10x = 22,030,111,143.49
  5. Step 5: Solve for x
    x = 22,030,111,143.49/137,336.10
  6. Step 6: Final answer
    x = 160,410.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.