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Finding the Fourth Proportional to 284,603.85, 426,905.78 and 107,150.67

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Solution

The fourth proportional to 284,603.85, 426,905.78 and 107,150.67 is: 160,726.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,603.85 : 426,905.78 = 107,150.67 : x
  2. Step 2: Convert to fraction form
    284,603.85/426,905.78 = 107,150.67/x
  3. Step 3: Cross multiply
    284,603.85x = 426,905.78 × 107,150.67
  4. Step 4: Simplify right side
    284,603.85x = 45,743,239,818.12
  5. Step 5: Solve for x
    x = 45,743,239,818.12/284,603.85
  6. Step 6: Final answer
    x = 160,726.01

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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.