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Finding the Fourth Proportional to 161,337.44, 242,000.69 and 61,494

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Solution

The fourth proportional to 161,337.44, 242,000.69 and 61,494 is: 92,238.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,337.44 : 242,000.69 = 61,494 : x
  2. Step 2: Convert to fraction form
    161,337.44/242,000.69 = 61,494/x
  3. Step 3: Cross multiply
    161,337.44x = 242,000.69 × 61,494
  4. Step 4: Simplify right side
    161,337.44x = 14,881,590,123.39
  5. Step 5: Solve for x
    x = 14,881,590,123.39/161,337.44
  6. Step 6: Final answer
    x = 92,238.92

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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.