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Finding the Fourth Proportional to 161,461.62, 242,222.40 and 49,151.88

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Solution

The fourth proportional to 161,461.62, 242,222.40 and 49,151.88 is: 73,736.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,461.62 : 242,222.40 = 49,151.88 : x
  2. Step 2: Convert to fraction form
    161,461.62/242,222.40 = 49,151.88/x
  3. Step 3: Cross multiply
    161,461.62x = 242,222.40 × 49,151.88
  4. Step 4: Simplify right side
    161,461.62x = 11,905,686,338.11
  5. Step 5: Solve for x
    x = 11,905,686,338.11/161,461.62
  6. Step 6: Final answer
    x = 73,736.94

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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.