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Finding the Fourth Proportional to 264,853.40, 397,134.30 and 106,903.40

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Solution

The fourth proportional to 264,853.40, 397,134.30 and 106,903.40 is: 160,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,853.40 : 397,134.30 = 106,903.40 : x
  2. Step 2: Convert to fraction form
    264,853.40/397,134.30 = 106,903.40/x
  3. Step 3: Cross multiply
    264,853.40x = 397,134.30 × 106,903.40
  4. Step 4: Simplify right side
    264,853.40x = 42,455,006,926.62
  5. Step 5: Solve for x
    x = 42,455,006,926.62/264,853.40
  6. Step 6: Final answer
    x = 160,296.25

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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.