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Finding the Fourth Proportional to 200,957.70, 277,311.28 and 119,289.38

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Solution

The fourth proportional to 200,957.70, 277,311.28 and 119,289.38 is: 164,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,957.70 : 277,311.28 = 119,289.38 : x
  2. Step 2: Convert to fraction form
    200,957.70/277,311.28 = 119,289.38/x
  3. Step 3: Cross multiply
    200,957.70x = 277,311.28 × 119,289.38
  4. Step 4: Simplify right side
    200,957.70x = 33,080,290,658.21
  5. Step 5: Solve for x
    x = 33,080,290,658.21/200,957.70
  6. Step 6: Final answer
    x = 164,613.20

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1.5x scale

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.