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Finding the Fourth Proportional to 227,833.32, 314,382.96 and 132,324.60

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Solution

The fourth proportional to 227,833.32, 314,382.96 and 132,324.60 is: 182,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,833.32 : 314,382.96 = 132,324.60 : x
  2. Step 2: Convert to fraction form
    227,833.32/314,382.96 = 132,324.60/x
  3. Step 3: Cross multiply
    227,833.32x = 314,382.96 × 132,324.60
  4. Step 4: Simplify right side
    227,833.32x = 41,600,599,428.82
  5. Step 5: Solve for x
    x = 41,600,599,428.82/227,833.32
  6. Step 6: Final answer
    x = 182,592.25

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1.5x scale

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.