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Finding the Fourth Proportional to 75,890.97, 114,085.53 and 70,410.51

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Solution

The fourth proportional to 75,890.97, 114,085.53 and 70,410.51 is: 105,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,890.97 : 114,085.53 = 70,410.51 : x
  2. Step 2: Convert to fraction form
    75,890.97/114,085.53 = 70,410.51/x
  3. Step 3: Cross multiply
    75,890.97x = 114,085.53 × 70,410.51
  4. Step 4: Simplify right side
    75,890.97x = 8,032,820,350.92
  5. Step 5: Solve for x
    x = 8,032,820,350.92/75,890.97
  6. Step 6: Final answer
    x = 105,846.85

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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.