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Finding the Fourth Proportional to 154,062.80, 231,094.20 and 106,823.60

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Solution

The fourth proportional to 154,062.80, 231,094.20 and 106,823.60 is: 160,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,062.80 : 231,094.20 = 106,823.60 : x
  2. Step 2: Convert to fraction form
    154,062.80/231,094.20 = 106,823.60/x
  3. Step 3: Cross multiply
    154,062.80x = 231,094.20 × 106,823.60
  4. Step 4: Simplify right side
    154,062.80x = 24,686,314,383.12
  5. Step 5: Solve for x
    x = 24,686,314,383.12/154,062.80
  6. Step 6: Final answer
    x = 160,235.40

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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.