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Finding the Fourth Proportional to 122,967.20, 184,450.80 and 101,097.20

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Solution

The fourth proportional to 122,967.20, 184,450.80 and 101,097.20 is: 151,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,967.20 : 184,450.80 = 101,097.20 : x
  2. Step 2: Convert to fraction form
    122,967.20/184,450.80 = 101,097.20/x
  3. Step 3: Cross multiply
    122,967.20x = 184,450.80 × 101,097.20
  4. Step 4: Simplify right side
    122,967.20x = 18,647,459,417.76
  5. Step 5: Solve for x
    x = 18,647,459,417.76/122,967.20
  6. Step 6: Final answer
    x = 151,645.80

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1.5x scale

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.