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Finding the Fourth Proportional to 208,442.50, 287,888.25 and 141,257.86

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Solution

The fourth proportional to 208,442.50, 287,888.25 and 141,257.86 is: 195,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,442.50 : 287,888.25 = 141,257.86 : x
  2. Step 2: Convert to fraction form
    208,442.50/287,888.25 = 141,257.86/x
  3. Step 3: Cross multiply
    208,442.50x = 287,888.25 × 141,257.86
  4. Step 4: Simplify right side
    208,442.50x = 40,666,478,114.15
  5. Step 5: Solve for x
    x = 40,666,478,114.15/208,442.50
  6. Step 6: Final answer
    x = 195,096.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.