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Finding the Fourth Proportional to 191,812.91, 287,896.82 and 97,109.63

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Solution

The fourth proportional to 191,812.91, 287,896.82 and 97,109.63 is: 145,754.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,812.91 : 287,896.82 = 97,109.63 : x
  2. Step 2: Convert to fraction form
    191,812.91/287,896.82 = 97,109.63/x
  3. Step 3: Cross multiply
    191,812.91x = 287,896.82 × 97,109.63
  4. Step 4: Simplify right side
    191,812.91x = 27,957,554,388.12
  5. Step 5: Solve for x
    x = 27,957,554,388.12/191,812.91
  6. Step 6: Final answer
    x = 145,754.29

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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.