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Finding the Fourth Proportional to 104,578.76, 144,356.78 and 64,346.48

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Solution

The fourth proportional to 104,578.76, 144,356.78 and 64,346.48 is: 88,821.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,578.76 : 144,356.78 = 64,346.48 : x
  2. Step 2: Convert to fraction form
    104,578.76/144,356.78 = 64,346.48/x
  3. Step 3: Cross multiply
    104,578.76x = 144,356.78 × 64,346.48
  4. Step 4: Simplify right side
    104,578.76x = 9,288,850,657.13
  5. Step 5: Solve for x
    x = 9,288,850,657.13/104,578.76
  6. Step 6: Final answer
    x = 88,821.58

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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.