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Finding the Fourth Proportional to 208,196.69, 312,248.31 and 95,768.93

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Solution

The fourth proportional to 208,196.69, 312,248.31 and 95,768.93 is: 143,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,196.69 : 312,248.31 = 95,768.93 : x
  2. Step 2: Convert to fraction form
    208,196.69/312,248.31 = 95,768.93/x
  3. Step 3: Cross multiply
    208,196.69x = 312,248.31 × 95,768.93
  4. Step 4: Simplify right side
    208,196.69x = 29,903,684,981.77
  5. Step 5: Solve for x
    x = 29,903,684,981.77/208,196.69
  6. Step 6: Final answer
    x = 143,631.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.