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Finding the Fourth Proportional to 231,417.66, 319,265.10 and 145,326

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Solution

The fourth proportional to 231,417.66, 319,265.10 and 145,326 is: 200,492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,417.66 : 319,265.10 = 145,326 : x
  2. Step 2: Convert to fraction form
    231,417.66/319,265.10 = 145,326/x
  3. Step 3: Cross multiply
    231,417.66x = 319,265.10 × 145,326
  4. Step 4: Simplify right side
    231,417.66x = 46,397,519,922.60
  5. Step 5: Solve for x
    x = 46,397,519,922.60/231,417.66
  6. Step 6: Final answer
    x = 200,492.56

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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.