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Finding the Fourth Proportional to 208,815, 288,164.91 and 113,321.72

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Solution

The fourth proportional to 208,815, 288,164.91 and 113,321.72 is: 156,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,815 : 288,164.91 = 113,321.72 : x
  2. Step 2: Convert to fraction form
    208,815/288,164.91 = 113,321.72/x
  3. Step 3: Cross multiply
    208,815x = 288,164.91 × 113,321.72
  4. Step 4: Simplify right side
    208,815x = 32,655,341,804.02
  5. Step 5: Solve for x
    x = 32,655,341,804.02/208,815
  6. Step 6: Final answer
    x = 156,384.08

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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.