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Finding the Fourth Proportional to 209,232.68, 288,742.95 and 113,739.53

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Solution

The fourth proportional to 209,232.68, 288,742.95 and 113,739.53 is: 156,961.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,232.68 : 288,742.95 = 113,739.53 : x
  2. Step 2: Convert to fraction form
    209,232.68/288,742.95 = 113,739.53/x
  3. Step 3: Cross multiply
    209,232.68x = 288,742.95 × 113,739.53
  4. Step 4: Simplify right side
    209,232.68x = 32,841,485,980.10
  5. Step 5: Solve for x
    x = 32,841,485,980.10/209,232.68
  6. Step 6: Final answer
    x = 156,961.55

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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.