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Finding the Fourth Proportional to 99,892.98, 149,838.44 and 57,746.24

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Solution

The fourth proportional to 99,892.98, 149,838.44 and 57,746.24 is: 86,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,892.98 : 149,838.44 = 57,746.24 : x
  2. Step 2: Convert to fraction form
    99,892.98/149,838.44 = 57,746.24/x
  3. Step 3: Cross multiply
    99,892.98x = 149,838.44 × 57,746.24
  4. Step 4: Simplify right side
    99,892.98x = 8,652,606,517.47
  5. Step 5: Solve for x
    x = 8,652,606,517.47/99,892.98
  6. Step 6: Final answer
    x = 86,618.76

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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.