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Finding the Fourth Proportional to 258,178.80, 386,938.32 and 208,282.41

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Solution

The fourth proportional to 258,178.80, 386,938.32 and 208,282.41 is: 312,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,178.80 : 386,938.32 = 208,282.41 : x
  2. Step 2: Convert to fraction form
    258,178.80/386,938.32 = 208,282.41/x
  3. Step 3: Cross multiply
    258,178.80x = 386,938.32 × 208,282.41
  4. Step 4: Simplify right side
    258,178.80x = 80,592,445,810.95
  5. Step 5: Solve for x
    x = 80,592,445,810.95/258,178.80
  6. Step 6: Final answer
    x = 312,157.49

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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.