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Finding the Fourth Proportional to 217,083.96, 299,575.86 and 132,201.02

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Solution

The fourth proportional to 217,083.96, 299,575.86 and 132,201.02 is: 182,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,083.96 : 299,575.86 = 132,201.02 : x
  2. Step 2: Convert to fraction form
    217,083.96/299,575.86 = 132,201.02/x
  3. Step 3: Cross multiply
    217,083.96x = 299,575.86 × 132,201.02
  4. Step 4: Simplify right side
    217,083.96x = 39,604,233,270.47
  5. Step 5: Solve for x
    x = 39,604,233,270.47/217,083.96
  6. Step 6: Final answer
    x = 182,437.40

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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.