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Finding the Fourth Proportional to 104,838, 144,672.10 and 57,091.24

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Solution

The fourth proportional to 104,838, 144,672.10 and 57,091.24 is: 78,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,838 : 144,672.10 = 57,091.24 : x
  2. Step 2: Convert to fraction form
    104,838/144,672.10 = 57,091.24/x
  3. Step 3: Cross multiply
    104,838x = 144,672.10 × 57,091.24
  4. Step 4: Simplify right side
    104,838x = 8,259,509,582.40
  5. Step 5: Solve for x
    x = 8,259,509,582.40/104,838
  6. Step 6: Final answer
    x = 78,783.55

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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.