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Finding the Fourth Proportional to 137,176.16, 205,764.58 and 74,026.00

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Solution

The fourth proportional to 137,176.16, 205,764.58 and 74,026.00 is: 111,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,176.16 : 205,764.58 = 74,026.00 : x
  2. Step 2: Convert to fraction form
    137,176.16/205,764.58 = 74,026.00/x
  3. Step 3: Cross multiply
    137,176.16x = 205,764.58 × 74,026.00
  4. Step 4: Simplify right side
    137,176.16x = 15,231,928,940.62
  5. Step 5: Solve for x
    x = 15,231,928,940.62/137,176.16
  6. Step 6: Final answer
    x = 111,039.19

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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.