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Finding the Fourth Proportional to 264,056, 364,416.48 and 150,876.32

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Solution

The fourth proportional to 264,056, 364,416.48 and 150,876.32 is: 208,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,056 : 364,416.48 = 150,876.32 : x
  2. Step 2: Convert to fraction form
    264,056/364,416.48 = 150,876.32/x
  3. Step 3: Cross multiply
    264,056x = 364,416.48 × 150,876.32
  4. Step 4: Simplify right side
    264,056x = 54,981,817,449.75
  5. Step 5: Solve for x
    x = 54,981,817,449.75/264,056
  6. Step 6: Final answer
    x = 208,220.29

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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.