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Finding the Fourth Proportional to 152,993.74, 229,326.53 and 73,999.30

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Solution

The fourth proportional to 152,993.74, 229,326.53 and 73,999.30 is: 110,919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,993.74 : 229,326.53 = 73,999.30 : x
  2. Step 2: Convert to fraction form
    152,993.74/229,326.53 = 73,999.30/x
  3. Step 3: Cross multiply
    152,993.74x = 229,326.53 × 73,999.30
  4. Step 4: Simplify right side
    152,993.74x = 16,970,001,544.80
  5. Step 5: Solve for x
    x = 16,970,001,544.80/152,993.74
  6. Step 6: Final answer
    x = 110,919.58

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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.