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Finding the Fourth Proportional to 169,922.13, 254,866.72 and 51,594.50

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Solution

The fourth proportional to 169,922.13, 254,866.72 and 51,594.50 is: 77,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,922.13 : 254,866.72 = 51,594.50 : x
  2. Step 2: Convert to fraction form
    169,922.13/254,866.72 = 51,594.50/x
  3. Step 3: Cross multiply
    169,922.13x = 254,866.72 × 51,594.50
  4. Step 4: Simplify right side
    169,922.13x = 13,149,720,985.04
  5. Step 5: Solve for x
    x = 13,149,720,985.04/169,922.13
  6. Step 6: Final answer
    x = 77,386.75

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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.