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Finding the Fourth Proportional to 225,307.20, 338,001.60 and 106,977.60

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Solution

The fourth proportional to 225,307.20, 338,001.60 and 106,977.60 is: 160,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,307.20 : 338,001.60 = 106,977.60 : x
  2. Step 2: Convert to fraction form
    225,307.20/338,001.60 = 106,977.60/x
  3. Step 3: Cross multiply
    225,307.20x = 338,001.60 × 106,977.60
  4. Step 4: Simplify right side
    225,307.20x = 36,158,599,964.16
  5. Step 5: Solve for x
    x = 36,158,599,964.16/225,307.20
  6. Step 6: Final answer
    x = 160,485.77

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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.