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Finding the Fourth Proportional to 209,332.01, 313,997.97 and 61,588.01

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Solution

The fourth proportional to 209,332.01, 313,997.97 and 61,588.01 is: 92,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,332.01 : 313,997.97 = 61,588.01 : x
  2. Step 2: Convert to fraction form
    209,332.01/313,997.97 = 61,588.01/x
  3. Step 3: Cross multiply
    209,332.01x = 313,997.97 × 61,588.01
  4. Step 4: Simplify right side
    209,332.01x = 19,338,510,116.34
  5. Step 5: Solve for x
    x = 19,338,510,116.34/209,332.01
  6. Step 6: Final answer
    x = 92,382.00

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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.