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Finding the Fourth Proportional to 191,846.82, 287,796.54 and 65,453.16

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Solution

The fourth proportional to 191,846.82, 287,796.54 and 65,453.16 is: 98,188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,846.82 : 287,796.54 = 65,453.16 : x
  2. Step 2: Convert to fraction form
    191,846.82/287,796.54 = 65,453.16/x
  3. Step 3: Cross multiply
    191,846.82x = 287,796.54 × 65,453.16
  4. Step 4: Simplify right side
    191,846.82x = 18,837,192,980.07
  5. Step 5: Solve for x
    x = 18,837,192,980.07/191,846.82
  6. Step 6: Final answer
    x = 98,188.72

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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.