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Finding the Fourth Proportional to 191,846.84, 287,796.51 and 65,453.15

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Solution

The fourth proportional to 191,846.84, 287,796.51 and 65,453.15 is: 98,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,846.84 : 287,796.51 = 65,453.15 : x
  2. Step 2: Convert to fraction form
    191,846.84/287,796.51 = 65,453.15/x
  3. Step 3: Cross multiply
    191,846.84x = 287,796.51 × 65,453.15
  4. Step 4: Simplify right side
    191,846.84x = 18,837,186,699.52
  5. Step 5: Solve for x
    x = 18,837,186,699.52/191,846.84
  6. Step 6: Final answer
    x = 98,188.68

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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.