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Finding the Fourth Proportional to 152,993.60, 229,029.60 and 136,404.80

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Solution

The fourth proportional to 152,993.60, 229,029.60 and 136,404.80 is: 204,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,993.60 : 229,029.60 = 136,404.80 : x
  2. Step 2: Convert to fraction form
    152,993.60/229,029.60 = 136,404.80/x
  3. Step 3: Cross multiply
    152,993.60x = 229,029.60 × 136,404.80
  4. Step 4: Simplify right side
    152,993.60x = 31,240,736,782.08
  5. Step 5: Solve for x
    x = 31,240,736,782.08/152,993.60
  6. Step 6: Final answer
    x = 204,196.36

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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.