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Finding the Fourth Proportional to 208,928.24, 288,319.32 and 113,433

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Solution

The fourth proportional to 208,928.24, 288,319.32 and 113,433 is: 156,536.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,928.24 : 288,319.32 = 113,433 : x
  2. Step 2: Convert to fraction form
    208,928.24/288,319.32 = 113,433/x
  3. Step 3: Cross multiply
    208,928.24x = 288,319.32 × 113,433
  4. Step 4: Simplify right side
    208,928.24x = 32,704,925,425.56
  5. Step 5: Solve for x
    x = 32,704,925,425.56/208,928.24
  6. Step 6: Final answer
    x = 156,536.64

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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.