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Finding the Fourth Proportional to 99,657.76, 149,417.52 and 52,943.44

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Solution

The fourth proportional to 99,657.76, 149,417.52 and 52,943.44 is: 79,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,657.76 : 149,417.52 = 52,943.44 : x
  2. Step 2: Convert to fraction form
    99,657.76/149,417.52 = 52,943.44/x
  3. Step 3: Cross multiply
    99,657.76x = 149,417.52 × 52,943.44
  4. Step 4: Simplify right side
    99,657.76x = 7,910,677,505.07
  5. Step 5: Solve for x
    x = 7,910,677,505.07/99,657.76
  6. Step 6: Final answer
    x = 79,378.44

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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.