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Finding the Fourth Proportional to 231,097.32, 346,668.66 and 96,133.56

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Solution

The fourth proportional to 231,097.32, 346,668.66 and 96,133.56 is: 144,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,097.32 : 346,668.66 = 96,133.56 : x
  2. Step 2: Convert to fraction form
    231,097.32/346,668.66 = 96,133.56/x
  3. Step 3: Cross multiply
    231,097.32x = 346,668.66 × 96,133.56
  4. Step 4: Simplify right side
    231,097.32x = 33,326,492,426.23
  5. Step 5: Solve for x
    x = 33,326,492,426.23/231,097.32
  6. Step 6: Final answer
    x = 144,209.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.