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Finding the Fourth Proportional to 169,965.10, 254,984.10 and 51,648.40

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Solution

The fourth proportional to 169,965.10, 254,984.10 and 51,648.40 is: 77,483.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,965.10 : 254,984.10 = 51,648.40 : x
  2. Step 2: Convert to fraction form
    169,965.10/254,984.10 = 51,648.40/x
  3. Step 3: Cross multiply
    169,965.10x = 254,984.10 × 51,648.40
  4. Step 4: Simplify right side
    169,965.10x = 13,169,520,790.44
  5. Step 5: Solve for x
    x = 13,169,520,790.44/169,965.10
  6. Step 6: Final answer
    x = 77,483.68

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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.