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Finding the Fourth Proportional to 229,306.69, 343,070.11 and 201,013.93

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Solution

The fourth proportional to 229,306.69, 343,070.11 and 201,013.93 is: 300,740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,306.69 : 343,070.11 = 201,013.93 : x
  2. Step 2: Convert to fraction form
    229,306.69/343,070.11 = 201,013.93/x
  3. Step 3: Cross multiply
    229,306.69x = 343,070.11 × 201,013.93
  4. Step 4: Simplify right side
    229,306.69x = 68,961,871,076.63
  5. Step 5: Solve for x
    x = 68,961,871,076.63/229,306.69
  6. Step 6: Final answer
    x = 300,740.77

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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.