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Finding the Fourth Proportional to 101,509.22, 152,088.60 and 67,293.92

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Solution

The fourth proportional to 101,509.22, 152,088.60 and 67,293.92 is: 100,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,509.22 : 152,088.60 = 67,293.92 : x
  2. Step 2: Convert to fraction form
    101,509.22/152,088.60 = 67,293.92/x
  3. Step 3: Cross multiply
    101,509.22x = 152,088.60 × 67,293.92
  4. Step 4: Simplify right side
    101,509.22x = 10,234,638,081.31
  5. Step 5: Solve for x
    x = 10,234,638,081.31/101,509.22
  6. Step 6: Final answer
    x = 100,824.71

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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.