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Finding the Fourth Proportional to 209,171.46, 288,658.84 and 113,678.16

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Solution

The fourth proportional to 209,171.46, 288,658.84 and 113,678.16 is: 156,877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,171.46 : 288,658.84 = 113,678.16 : x
  2. Step 2: Convert to fraction form
    209,171.46/288,658.84 = 113,678.16/x
  3. Step 3: Cross multiply
    209,171.46x = 288,658.84 × 113,678.16
  4. Step 4: Simplify right side
    209,171.46x = 32,814,205,798.93
  5. Step 5: Solve for x
    x = 32,814,205,798.93/209,171.46
  6. Step 6: Final answer
    x = 156,877.07

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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.