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Finding the Fourth Proportional to 257,979.32, 355,999.47 and 143,265.24

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Solution

The fourth proportional to 257,979.32, 355,999.47 and 143,265.24 is: 197,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,979.32 : 355,999.47 = 143,265.24 : x
  2. Step 2: Convert to fraction form
    257,979.32/355,999.47 = 143,265.24/x
  3. Step 3: Cross multiply
    257,979.32x = 355,999.47 × 143,265.24
  4. Step 4: Simplify right side
    257,979.32x = 51,002,349,509.42
  5. Step 5: Solve for x
    x = 51,002,349,509.42/257,979.32
  6. Step 6: Final answer
    x = 197,699.38

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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.