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Finding the Fourth Proportional to 146,109, 219,169.77 and 57,381.69

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Solution

The fourth proportional to 146,109, 219,169.77 and 57,381.69 is: 86,075.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,109 : 219,169.77 = 57,381.69 : x
  2. Step 2: Convert to fraction form
    146,109/219,169.77 = 57,381.69/x
  3. Step 3: Cross multiply
    146,109x = 219,169.77 × 57,381.69
  4. Step 4: Simplify right side
    146,109x = 12,576,331,799.51
  5. Step 5: Solve for x
    x = 12,576,331,799.51/146,109
  6. Step 6: Final answer
    x = 86,075.00

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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.