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Finding the Fourth Proportional to 110,559.44, 152,593.80 and 77,006

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Solution

The fourth proportional to 110,559.44, 152,593.80 and 77,006 is: 106,283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,559.44 : 152,593.80 = 77,006 : x
  2. Step 2: Convert to fraction form
    110,559.44/152,593.80 = 77,006/x
  3. Step 3: Cross multiply
    110,559.44x = 152,593.80 × 77,006
  4. Step 4: Simplify right side
    110,559.44x = 11,750,638,162.80
  5. Step 5: Solve for x
    x = 11,750,638,162.80/110,559.44
  6. Step 6: Final answer
    x = 106,283.45

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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.