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Finding the Fourth Proportional to 210,232.25, 290,076.17 and 133,723.50

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Solution

The fourth proportional to 210,232.25, 290,076.17 and 133,723.50 is: 184,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,232.25 : 290,076.17 = 133,723.50 : x
  2. Step 2: Convert to fraction form
    210,232.25/290,076.17 = 133,723.50/x
  3. Step 3: Cross multiply
    210,232.25x = 290,076.17 × 133,723.50
  4. Step 4: Simplify right side
    210,232.25x = 38,790,000,050.38
  5. Step 5: Solve for x
    x = 38,790,000,050.38/210,232.25
  6. Step 6: Final answer
    x = 184,510.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.