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Finding the Fourth Proportional to 100,259.58, 138,349.03 and 57,809.91

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Solution

The fourth proportional to 100,259.58, 138,349.03 and 57,809.91 is: 79,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,259.58 : 138,349.03 = 57,809.91 : x
  2. Step 2: Convert to fraction form
    100,259.58/138,349.03 = 57,809.91/x
  3. Step 3: Cross multiply
    100,259.58x = 138,349.03 × 57,809.91
  4. Step 4: Simplify right side
    100,259.58x = 7,997,944,972.89
  5. Step 5: Solve for x
    x = 7,997,944,972.89/100,259.58
  6. Step 6: Final answer
    x = 79,772.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.