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Finding the Fourth Proportional to 149,823.60, 224,832.60 and 86,643.60

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Solution

The fourth proportional to 149,823.60, 224,832.60 and 86,643.60 is: 130,021.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,823.60 : 224,832.60 = 86,643.60 : x
  2. Step 2: Convert to fraction form
    149,823.60/224,832.60 = 86,643.60/x
  3. Step 3: Cross multiply
    149,823.60x = 224,832.60 × 86,643.60
  4. Step 4: Simplify right side
    149,823.60x = 19,480,305,861.36
  5. Step 5: Solve for x
    x = 19,480,305,861.36/149,823.60
  6. Step 6: Final answer
    x = 130,021.61

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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.