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Finding the Fourth Proportional to 99,113.87, 148,733.48 and 51,814.33

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Solution

The fourth proportional to 99,113.87, 148,733.48 and 51,814.33 is: 77,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,113.87 : 148,733.48 = 51,814.33 : x
  2. Step 2: Convert to fraction form
    99,113.87/148,733.48 = 51,814.33/x
  3. Step 3: Cross multiply
    99,113.87x = 148,733.48 × 51,814.33
  4. Step 4: Simplify right side
    99,113.87x = 7,706,525,372.47
  5. Step 5: Solve for x
    x = 7,706,525,372.47/99,113.87
  6. Step 6: Final answer
    x = 77,754.26

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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.