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Finding the Fourth Proportional to 208,792.22, 288,134.03 and 113,298.92

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Solution

The fourth proportional to 208,792.22, 288,134.03 and 113,298.92 is: 156,352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,792.22 : 288,134.03 = 113,298.92 : x
  2. Step 2: Convert to fraction form
    208,792.22/288,134.03 = 113,298.92/x
  3. Step 3: Cross multiply
    208,792.22x = 288,134.03 × 113,298.92
  4. Step 4: Simplify right side
    208,792.22x = 32,645,273,700.02
  5. Step 5: Solve for x
    x = 32,645,273,700.02/208,792.22
  6. Step 6: Final answer
    x = 156,352.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.