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Finding the Fourth Proportional to 230,843.60, 346,265.40 and 106,427.60

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Solution

The fourth proportional to 230,843.60, 346,265.40 and 106,427.60 is: 159,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,843.60 : 346,265.40 = 106,427.60 : x
  2. Step 2: Convert to fraction form
    230,843.60/346,265.40 = 106,427.60/x
  3. Step 3: Cross multiply
    230,843.60x = 346,265.40 × 106,427.60
  4. Step 4: Simplify right side
    230,843.60x = 36,852,195,485.04
  5. Step 5: Solve for x
    x = 36,852,195,485.04/230,843.60
  6. Step 6: Final answer
    x = 159,641.40

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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.