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Finding the Fourth Proportional to 208,838.64, 288,197.58 and 113,345.32

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Solution

The fourth proportional to 208,838.64, 288,197.58 and 113,345.32 is: 156,416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,838.64 : 288,197.58 = 113,345.32 : x
  2. Step 2: Convert to fraction form
    208,838.64/288,197.58 = 113,345.32/x
  3. Step 3: Cross multiply
    208,838.64x = 288,197.58 × 113,345.32
  4. Step 4: Simplify right side
    208,838.64x = 32,665,846,928.33
  5. Step 5: Solve for x
    x = 32,665,846,928.33/208,838.64
  6. Step 6: Final answer
    x = 156,416.68

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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.