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Finding the Fourth Proportional to 161,492.79, 242,251.56 and 49,182.57

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Solution

The fourth proportional to 161,492.79, 242,251.56 and 49,182.57 is: 73,777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,492.79 : 242,251.56 = 49,182.57 : x
  2. Step 2: Convert to fraction form
    161,492.79/242,251.56 = 49,182.57/x
  3. Step 3: Cross multiply
    161,492.79x = 242,251.56 × 49,182.57
  4. Step 4: Simplify right side
    161,492.79x = 11,914,554,307.31
  5. Step 5: Solve for x
    x = 11,914,554,307.31/161,492.79
  6. Step 6: Final answer
    x = 73,777.62

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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.