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Finding the Fourth Proportional to 208,810.14, 288,158.18 and 113,316.83

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Solution

The fourth proportional to 208,810.14, 288,158.18 and 113,316.83 is: 156,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,810.14 : 288,158.18 = 113,316.83 : x
  2. Step 2: Convert to fraction form
    208,810.14/288,158.18 = 113,316.83/x
  3. Step 3: Cross multiply
    208,810.14x = 288,158.18 × 113,316.83
  4. Step 4: Simplify right side
    208,810.14x = 32,653,169,488.79
  5. Step 5: Solve for x
    x = 32,653,169,488.79/208,810.14
  6. Step 6: Final answer
    x = 156,377.32

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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.