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Finding the Fourth Proportional to 235,287, 352,732.05 and 102,066.93

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Solution

The fourth proportional to 235,287, 352,732.05 and 102,066.93 is: 153,014.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,287 : 352,732.05 = 102,066.93 : x
  2. Step 2: Convert to fraction form
    235,287/352,732.05 = 102,066.93/x
  3. Step 3: Cross multiply
    235,287x = 352,732.05 × 102,066.93
  4. Step 4: Simplify right side
    235,287x = 36,002,277,456.11
  5. Step 5: Solve for x
    x = 36,002,277,456.11/235,287
  6. Step 6: Final answer
    x = 153,014.31

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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.