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Finding the Fourth Proportional to 114,156.36, 171,224.01 and 35,262.77

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Solution

The fourth proportional to 114,156.36, 171,224.01 and 35,262.77 is: 52,890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,156.36 : 171,224.01 = 35,262.77 : x
  2. Step 2: Convert to fraction form
    114,156.36/171,224.01 = 35,262.77/x
  3. Step 3: Cross multiply
    114,156.36x = 171,224.01 × 35,262.77
  4. Step 4: Simplify right side
    114,156.36x = 6,037,832,026.99
  5. Step 5: Solve for x
    x = 6,037,832,026.99/114,156.36
  6. Step 6: Final answer
    x = 52,890.89

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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.