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Finding the Fourth Proportional to 229,712.70, 343,791.45 and 201,719.10

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Solution

The fourth proportional to 229,712.70, 343,791.45 and 201,719.10 is: 301,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,712.70 : 343,791.45 = 201,719.10 : x
  2. Step 2: Convert to fraction form
    229,712.70/343,791.45 = 201,719.10/x
  3. Step 3: Cross multiply
    229,712.70x = 343,791.45 × 201,719.10
  4. Step 4: Simplify right side
    229,712.70x = 69,349,301,881.70
  5. Step 5: Solve for x
    x = 69,349,301,881.70/229,712.70
  6. Step 6: Final answer
    x = 301,895.81

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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.