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Finding the Fourth Proportional to 277,595.34, 416,306.94 and 100,079.38

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Solution

The fourth proportional to 277,595.34, 416,306.94 and 100,079.38 is: 150,088.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,595.34 : 416,306.94 = 100,079.38 : x
  2. Step 2: Convert to fraction form
    277,595.34/416,306.94 = 100,079.38/x
  3. Step 3: Cross multiply
    277,595.34x = 416,306.94 × 100,079.38
  4. Step 4: Simplify right side
    277,595.34x = 41,663,740,444.90
  5. Step 5: Solve for x
    x = 41,663,740,444.90/277,595.34
  6. Step 6: Final answer
    x = 150,088.04

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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.