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Finding the Fourth Proportional to 175,950.58, 242,655.02 and 137,198

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Solution

The fourth proportional to 175,950.58, 242,655.02 and 137,198 is: 189,210.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,950.58 : 242,655.02 = 137,198 : x
  2. Step 2: Convert to fraction form
    175,950.58/242,655.02 = 137,198/x
  3. Step 3: Cross multiply
    175,950.58x = 242,655.02 × 137,198
  4. Step 4: Simplify right side
    175,950.58x = 33,291,782,747.97
  5. Step 5: Solve for x
    x = 33,291,782,747.97/175,950.58
  6. Step 6: Final answer
    x = 189,210.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.