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Finding the Fourth Proportional to 208,922.95, 288,314.12 and 113,427.60

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Solution

The fourth proportional to 208,922.95, 288,314.12 and 113,427.60 is: 156,530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,922.95 : 288,314.12 = 113,427.60 : x
  2. Step 2: Convert to fraction form
    208,922.95/288,314.12 = 113,427.60/x
  3. Step 3: Cross multiply
    208,922.95x = 288,314.12 × 113,427.60
  4. Step 4: Simplify right side
    208,922.95x = 32,702,778,677.71
  5. Step 5: Solve for x
    x = 32,702,778,677.71/208,922.95
  6. Step 6: Final answer
    x = 156,530.33

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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.