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Finding the Fourth Proportional to 180,460.66, 248,978.45 and 104,994.58

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Solution

The fourth proportional to 180,460.66, 248,978.45 and 104,994.58 is: 144,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,460.66 : 248,978.45 = 104,994.58 : x
  2. Step 2: Convert to fraction form
    180,460.66/248,978.45 = 104,994.58/x
  3. Step 3: Cross multiply
    180,460.66x = 248,978.45 × 104,994.58
  4. Step 4: Simplify right side
    180,460.66x = 26,141,387,786.80
  5. Step 5: Solve for x
    x = 26,141,387,786.80/180,460.66
  6. Step 6: Final answer
    x = 144,859.21

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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.