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Finding the Fourth Proportional to 356,082.14, 533,951.88 and 119,259.20

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Solution

The fourth proportional to 356,082.14, 533,951.88 and 119,259.20 is: 178,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,082.14 : 533,951.88 = 119,259.20 : x
  2. Step 2: Convert to fraction form
    356,082.14/533,951.88 = 119,259.20/x
  3. Step 3: Cross multiply
    356,082.14x = 533,951.88 × 119,259.20
  4. Step 4: Simplify right side
    356,082.14x = 63,678,671,377.54
  5. Step 5: Solve for x
    x = 63,678,671,377.54/356,082.14
  6. Step 6: Final answer
    x = 178,831.41

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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.