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Finding the Fourth Proportional to 207,199.91, 285,961.19 and 116,559.69

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Solution

The fourth proportional to 207,199.91, 285,961.19 and 116,559.69 is: 160,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,199.91 : 285,961.19 = 116,559.69 : x
  2. Step 2: Convert to fraction form
    207,199.91/285,961.19 = 116,559.69/x
  3. Step 3: Cross multiply
    207,199.91x = 285,961.19 × 116,559.69
  4. Step 4: Simplify right side
    207,199.91x = 33,331,547,075.63
  5. Step 5: Solve for x
    x = 33,331,547,075.63/207,199.91
  6. Step 6: Final answer
    x = 160,866.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.