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Finding the Fourth Proportional to 264,033.42, 364,385.43 and 150,853.74

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Solution

The fourth proportional to 264,033.42, 364,385.43 and 150,853.74 is: 208,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,033.42 : 364,385.43 = 150,853.74 : x
  2. Step 2: Convert to fraction form
    264,033.42/364,385.43 = 150,853.74/x
  3. Step 3: Cross multiply
    264,033.42x = 364,385.43 × 150,853.74
  4. Step 4: Simplify right side
    264,033.42x = 54,968,904,917.01
  5. Step 5: Solve for x
    x = 54,968,904,917.01/264,033.42
  6. Step 6: Final answer
    x = 208,189.19

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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.