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Finding the Fourth Proportional to 161,457.71, 242,186.78 and 77,198.08

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Solution

The fourth proportional to 161,457.71, 242,186.78 and 77,198.08 is: 115,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,457.71 : 242,186.78 = 77,198.08 : x
  2. Step 2: Convert to fraction form
    161,457.71/242,186.78 = 77,198.08/x
  3. Step 3: Cross multiply
    161,457.71x = 242,186.78 × 77,198.08
  4. Step 4: Simplify right side
    161,457.71x = 18,696,354,417.38
  5. Step 5: Solve for x
    x = 18,696,354,417.38/161,457.71
  6. Step 6: Final answer
    x = 115,797.22

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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.