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Finding the Fourth Proportional to 100,114.83, 138,111.78 and 57,648.75

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Solution

The fourth proportional to 100,114.83, 138,111.78 and 57,648.75 is: 79,528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,114.83 : 138,111.78 = 57,648.75 : x
  2. Step 2: Convert to fraction form
    100,114.83/138,111.78 = 57,648.75/x
  3. Step 3: Cross multiply
    100,114.83x = 138,111.78 × 57,648.75
  4. Step 4: Simplify right side
    100,114.83x = 7,961,971,477.28
  5. Step 5: Solve for x
    x = 7,961,971,477.28/100,114.83
  6. Step 6: Final answer
    x = 79,528.39

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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.