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Finding the Fourth Proportional to 174,042.70, 260,772.45 and 148,965.10

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Solution

The fourth proportional to 174,042.70, 260,772.45 and 148,965.10 is: 223,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,042.70 : 260,772.45 = 148,965.10 : x
  2. Step 2: Convert to fraction form
    174,042.70/260,772.45 = 148,965.10/x
  3. Step 3: Cross multiply
    174,042.70x = 260,772.45 × 148,965.10
  4. Step 4: Simplify right side
    174,042.70x = 38,845,994,091.50
  5. Step 5: Solve for x
    x = 38,845,994,091.50/174,042.70
  6. Step 6: Final answer
    x = 223,198.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.