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Finding the Fourth Proportional to 133,593.84, 200,390.76 and 59,670

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Solution

The fourth proportional to 133,593.84, 200,390.76 and 59,670 is: 89,505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,593.84 : 200,390.76 = 59,670 : x
  2. Step 2: Convert to fraction form
    133,593.84/200,390.76 = 59,670/x
  3. Step 3: Cross multiply
    133,593.84x = 200,390.76 × 59,670
  4. Step 4: Simplify right side
    133,593.84x = 11,957,316,649.20
  5. Step 5: Solve for x
    x = 11,957,316,649.20/133,593.84
  6. Step 6: Final answer
    x = 89,505.00

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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.