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Finding the Fourth Proportional to 161,457.69, 242,186.69 and 77,198.04

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Solution

The fourth proportional to 161,457.69, 242,186.69 and 77,198.04 is: 115,797.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,457.69 : 242,186.69 = 77,198.04 : x
  2. Step 2: Convert to fraction form
    161,457.69/242,186.69 = 77,198.04/x
  3. Step 3: Cross multiply
    161,457.69x = 242,186.69 × 77,198.04
  4. Step 4: Simplify right side
    161,457.69x = 18,696,337,396.10
  5. Step 5: Solve for x
    x = 18,696,337,396.10/161,457.69
  6. Step 6: Final answer
    x = 115,797.13

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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.