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Finding the Fourth Proportional to 264,097.15, 364,454.24 and 143,238.40

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Solution

The fourth proportional to 264,097.15, 364,454.24 and 143,238.40 is: 197,669.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,097.15 : 364,454.24 = 143,238.40 : x
  2. Step 2: Convert to fraction form
    264,097.15/364,454.24 = 143,238.40/x
  3. Step 3: Cross multiply
    264,097.15x = 364,454.24 × 143,238.40
  4. Step 4: Simplify right side
    264,097.15x = 52,203,840,583.49
  5. Step 5: Solve for x
    x = 52,203,840,583.49/264,097.15
  6. Step 6: Final answer
    x = 197,669.08

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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.