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Finding the Fourth Proportional to 264,287.75, 364,719.78 and 143,430.08

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Solution

The fourth proportional to 264,287.75, 364,719.78 and 143,430.08 is: 197,934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,287.75 : 364,719.78 = 143,430.08 : x
  2. Step 2: Convert to fraction form
    264,287.75/364,719.78 = 143,430.08/x
  3. Step 3: Cross multiply
    264,287.75x = 364,719.78 × 143,430.08
  4. Step 4: Simplify right side
    264,287.75x = 52,311,785,399.38
  5. Step 5: Solve for x
    x = 52,311,785,399.38/264,287.75
  6. Step 6: Final answer
    x = 197,934.96

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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.