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Finding the Fourth Proportional to 200,946.27, 277,179.71 and 119,216.67

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Solution

The fourth proportional to 200,946.27, 277,179.71 and 119,216.67 is: 164,444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,946.27 : 277,179.71 = 119,216.67 : x
  2. Step 2: Convert to fraction form
    200,946.27/277,179.71 = 119,216.67/x
  3. Step 3: Cross multiply
    200,946.27x = 277,179.71 × 119,216.67
  4. Step 4: Simplify right side
    200,946.27x = 33,044,441,421.68
  5. Step 5: Solve for x
    x = 33,044,441,421.68/200,946.27
  6. Step 6: Final answer
    x = 164,444.16

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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.