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Finding the Fourth Proportional to 208,838.69, 288,197.60 and 113,345.42

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Solution

The fourth proportional to 208,838.69, 288,197.60 and 113,345.42 is: 156,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,838.69 : 288,197.60 = 113,345.42 : x
  2. Step 2: Convert to fraction form
    208,838.69/288,197.60 = 113,345.42/x
  3. Step 3: Cross multiply
    208,838.69x = 288,197.60 × 113,345.42
  4. Step 4: Simplify right side
    208,838.69x = 32,665,878,168.76
  5. Step 5: Solve for x
    x = 32,665,878,168.76/208,838.69
  6. Step 6: Final answer
    x = 156,416.80

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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.