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Finding the Fourth Proportional to 153,124.55, 229,733.57 and 78,297.26

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Solution

The fourth proportional to 153,124.55, 229,733.57 and 78,297.26 is: 117,469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,124.55 : 229,733.57 = 78,297.26 : x
  2. Step 2: Convert to fraction form
    153,124.55/229,733.57 = 78,297.26/x
  3. Step 3: Cross multiply
    153,124.55x = 229,733.57 × 78,297.26
  4. Step 4: Simplify right side
    153,124.55x = 17,987,507,520.86
  5. Step 5: Solve for x
    x = 17,987,507,520.86/153,124.55
  6. Step 6: Final answer
    x = 117,469.79

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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.