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Finding the Fourth Proportional to 109,230.99, 163,910.17 and 46,047.24

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Solution

The fourth proportional to 109,230.99, 163,910.17 and 46,047.24 is: 69,097.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,230.99 : 163,910.17 = 46,047.24 : x
  2. Step 2: Convert to fraction form
    109,230.99/163,910.17 = 46,047.24/x
  3. Step 3: Cross multiply
    109,230.99x = 163,910.17 × 46,047.24
  4. Step 4: Simplify right side
    109,230.99x = 7,547,610,936.43
  5. Step 5: Solve for x
    x = 7,547,610,936.43/109,230.99
  6. Step 6: Final answer
    x = 69,097.71

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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.