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Finding the Fourth Proportional to 200,925.52, 301,458.44 and 125,956.98

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Solution

The fourth proportional to 200,925.52, 301,458.44 and 125,956.98 is: 188,979.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,925.52 : 301,458.44 = 125,956.98 : x
  2. Step 2: Convert to fraction form
    200,925.52/301,458.44 = 125,956.98/x
  3. Step 3: Cross multiply
    200,925.52x = 301,458.44 × 125,956.98
  4. Step 4: Simplify right side
    200,925.52x = 37,970,794,697.91
  5. Step 5: Solve for x
    x = 37,970,794,697.91/200,925.52
  6. Step 6: Final answer
    x = 188,979.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.