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Finding the Fourth Proportional to 231,465.10, 319,293.23 and 134,658.08

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Solution

The fourth proportional to 231,465.10, 319,293.23 and 134,658.08 is: 185,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,465.10 : 319,293.23 = 134,658.08 : x
  2. Step 2: Convert to fraction form
    231,465.10/319,293.23 = 134,658.08/x
  3. Step 3: Cross multiply
    231,465.10x = 319,293.23 × 134,658.08
  4. Step 4: Simplify right side
    231,465.10x = 42,995,413,308.80
  5. Step 5: Solve for x
    x = 42,995,413,308.80/231,465.10
  6. Step 6: Final answer
    x = 185,753.33

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