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Finding the Fourth Proportional to 191,416.29, 287,150.70 and 65,022.60

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Solution

The fourth proportional to 191,416.29, 287,150.70 and 65,022.60 is: 97,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,416.29 : 287,150.70 = 65,022.60 : x
  2. Step 2: Convert to fraction form
    191,416.29/287,150.70 = 65,022.60/x
  3. Step 3: Cross multiply
    191,416.29x = 287,150.70 × 65,022.60
  4. Step 4: Simplify right side
    191,416.29x = 18,671,285,105.82
  5. Step 5: Solve for x
    x = 18,671,285,105.82/191,416.29
  6. Step 6: Final answer
    x = 97,542.82

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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.