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Finding the Fourth Proportional to 161,808.94, 242,748.44 and 61,969.15

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Solution

The fourth proportional to 161,808.94, 242,748.44 and 61,969.15 is: 92,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,808.94 : 242,748.44 = 61,969.15 : x
  2. Step 2: Convert to fraction form
    161,808.94/242,748.44 = 61,969.15/x
  3. Step 3: Cross multiply
    161,808.94x = 242,748.44 × 61,969.15
  4. Step 4: Simplify right side
    161,808.94x = 15,042,912,967.04
  5. Step 5: Solve for x
    x = 15,042,912,967.04/161,808.94
  6. Step 6: Final answer
    x = 92,967.13

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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.