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Finding the Fourth Proportional to 213,502.25, 320,259 and 93,497.46

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Solution

The fourth proportional to 213,502.25, 320,259 and 93,497.46 is: 140,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,502.25 : 320,259 = 93,497.46 : x
  2. Step 2: Convert to fraction form
    213,502.25/320,259 = 93,497.46/x
  3. Step 3: Cross multiply
    213,502.25x = 320,259 × 93,497.46
  4. Step 4: Simplify right side
    213,502.25x = 29,943,403,042.14
  5. Step 5: Solve for x
    x = 29,943,403,042.14/213,502.25
  6. Step 6: Final answer
    x = 140,248.66

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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.