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Finding the Fourth Proportional to 191,894.14, 287,841.75 and 73,601.74

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Solution

The fourth proportional to 191,894.14, 287,841.75 and 73,601.74 is: 110,402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,894.14 : 287,841.75 = 73,601.74 : x
  2. Step 2: Convert to fraction form
    191,894.14/287,841.75 = 73,601.74/x
  3. Step 3: Cross multiply
    191,894.14x = 287,841.75 × 73,601.74
  4. Step 4: Simplify right side
    191,894.14x = 21,185,653,644.65
  5. Step 5: Solve for x
    x = 21,185,653,644.65/191,894.14
  6. Step 6: Final answer
    x = 110,402.82

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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.