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Finding the Fourth Proportional to 264,034.96, 364,387.52 and 150,855.28

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Solution

The fourth proportional to 264,034.96, 364,387.52 and 150,855.28 is: 208,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,034.96 : 364,387.52 = 150,855.28 : x
  2. Step 2: Convert to fraction form
    264,034.96/364,387.52 = 150,855.28/x
  3. Step 3: Cross multiply
    264,034.96x = 364,387.52 × 150,855.28
  4. Step 4: Simplify right side
    264,034.96x = 54,969,781,358.11
  5. Step 5: Solve for x
    x = 54,969,781,358.11/264,034.96
  6. Step 6: Final answer
    x = 208,191.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.