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Finding the Fourth Proportional to 284,897.43, 427,188.36 and 116,535.98

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Solution

The fourth proportional to 284,897.43, 427,188.36 and 116,535.98 is: 174,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,897.43 : 427,188.36 = 116,535.98 : x
  2. Step 2: Convert to fraction form
    284,897.43/427,188.36 = 116,535.98/x
  3. Step 3: Cross multiply
    284,897.43x = 427,188.36 × 116,535.98
  4. Step 4: Simplify right side
    284,897.43x = 49,782,812,041.25
  5. Step 5: Solve for x
    x = 49,782,812,041.25/284,897.43
  6. Step 6: Final answer
    x = 174,739.42

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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.