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Finding the Fourth Proportional to 264,033.92, 364,386.12 and 150,854.24

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Solution

The fourth proportional to 264,033.92, 364,386.12 and 150,854.24 is: 208,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,033.92 : 364,386.12 = 150,854.24 : x
  2. Step 2: Convert to fraction form
    264,033.92/364,386.12 = 150,854.24/x
  3. Step 3: Cross multiply
    264,033.92x = 364,386.12 × 150,854.24
  4. Step 4: Simplify right side
    264,033.92x = 54,969,191,199.15
  5. Step 5: Solve for x
    x = 54,969,191,199.15/264,033.92
  6. Step 6: Final answer
    x = 208,189.88

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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.