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Finding the Fourth Proportional to 174,591, 240,924.24 and 102,954.60

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Solution

The fourth proportional to 174,591, 240,924.24 and 102,954.60 is: 142,070.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,591 : 240,924.24 = 102,954.60 : x
  2. Step 2: Convert to fraction form
    174,591/240,924.24 = 102,954.60/x
  3. Step 3: Cross multiply
    174,591x = 240,924.24 × 102,954.60
  4. Step 4: Simplify right side
    174,591x = 24,804,258,759.50
  5. Step 5: Solve for x
    x = 24,804,258,759.50/174,591
  6. Step 6: Final answer
    x = 142,070.66

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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.