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Finding the Fourth Proportional to 277,700.85, 416,465.15 and 100,184.81

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Solution

The fourth proportional to 277,700.85, 416,465.15 and 100,184.81 is: 150,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,700.85 : 416,465.15 = 100,184.81 : x
  2. Step 2: Convert to fraction form
    277,700.85/416,465.15 = 100,184.81/x
  3. Step 3: Cross multiply
    277,700.85x = 416,465.15 × 100,184.81
  4. Step 4: Simplify right side
    277,700.85x = 41,723,479,341.12
  5. Step 5: Solve for x
    x = 41,723,479,341.12/277,700.85
  6. Step 6: Final answer
    x = 150,246.13

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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.