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Finding the Fourth Proportional to 326,641.50, 489,962.25 and 105,025.50

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Solution

The fourth proportional to 326,641.50, 489,962.25 and 105,025.50 is: 157,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,641.50 : 489,962.25 = 105,025.50 : x
  2. Step 2: Convert to fraction form
    326,641.50/489,962.25 = 105,025.50/x
  3. Step 3: Cross multiply
    326,641.50x = 489,962.25 × 105,025.50
  4. Step 4: Simplify right side
    326,641.50x = 51,458,530,287.38
  5. Step 5: Solve for x
    x = 51,458,530,287.38/326,641.50
  6. Step 6: Final answer
    x = 157,538.25

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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.