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Finding the Fourth Proportional to 201,964.52, 302,946.78 and 127,937

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Solution

The fourth proportional to 201,964.52, 302,946.78 and 127,937 is: 191,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,964.52 : 302,946.78 = 127,937 : x
  2. Step 2: Convert to fraction form
    201,964.52/302,946.78 = 127,937/x
  3. Step 3: Cross multiply
    201,964.52x = 302,946.78 × 127,937
  4. Step 4: Simplify right side
    201,964.52x = 38,758,102,192.86
  5. Step 5: Solve for x
    x = 38,758,102,192.86/201,964.52
  6. Step 6: Final answer
    x = 191,905.50

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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.