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Finding the Fourth Proportional to 264,088.74, 364,441.40 and 143,229.54

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Solution

The fourth proportional to 264,088.74, 364,441.40 and 143,229.54 is: 197,656.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,088.74 : 364,441.40 = 143,229.54 : x
  2. Step 2: Convert to fraction form
    264,088.74/364,441.40 = 143,229.54/x
  3. Step 3: Cross multiply
    264,088.74x = 364,441.40 × 143,229.54
  4. Step 4: Simplify right side
    264,088.74x = 52,198,774,078.96
  5. Step 5: Solve for x
    x = 52,198,774,078.96/264,088.74
  6. Step 6: Final answer
    x = 197,656.19

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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.