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Finding the Fourth Proportional to 200,593.77, 301,265.40 and 176,586.57

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Solution

The fourth proportional to 200,593.77, 301,265.40 and 176,586.57 is: 265,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,593.77 : 301,265.40 = 176,586.57 : x
  2. Step 2: Convert to fraction form
    200,593.77/301,265.40 = 176,586.57/x
  3. Step 3: Cross multiply
    200,593.77x = 301,265.40 × 176,586.57
  4. Step 4: Simplify right side
    200,593.77x = 53,199,423,645.68
  5. Step 5: Solve for x
    x = 53,199,423,645.68/200,593.77
  6. Step 6: Final answer
    x = 265,209.75

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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.