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Finding the Fourth Proportional to 169,866.72, 254,534.40 and 107,406

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Solution

The fourth proportional to 169,866.72, 254,534.40 and 107,406 is: 160,941.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,866.72 : 254,534.40 = 107,406 : x
  2. Step 2: Convert to fraction form
    169,866.72/254,534.40 = 107,406/x
  3. Step 3: Cross multiply
    169,866.72x = 254,534.40 × 107,406
  4. Step 4: Simplify right side
    169,866.72x = 27,338,521,766.40
  5. Step 5: Solve for x
    x = 27,338,521,766.40/169,866.72
  6. Step 6: Final answer
    x = 160,941.01

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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.