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Finding the Fourth Proportional to 264,436.96, 364,923.60 and 143,578.24

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Solution

The fourth proportional to 264,436.96, 364,923.60 and 143,578.24 is: 198,138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,436.96 : 364,923.60 = 143,578.24 : x
  2. Step 2: Convert to fraction form
    264,436.96/364,923.60 = 143,578.24/x
  3. Step 3: Cross multiply
    264,436.96x = 364,923.60 × 143,578.24
  4. Step 4: Simplify right side
    264,436.96x = 52,395,088,222.46
  5. Step 5: Solve for x
    x = 52,395,088,222.46/264,436.96
  6. Step 6: Final answer
    x = 198,138.29

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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.