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Finding the Fourth Proportional to 284,343.90, 426,373.17 and 94,737.57

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Solution

The fourth proportional to 284,343.90, 426,373.17 and 94,737.57 is: 142,058.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,343.90 : 426,373.17 = 94,737.57 : x
  2. Step 2: Convert to fraction form
    284,343.90/426,373.17 = 94,737.57/x
  3. Step 3: Cross multiply
    284,343.90x = 426,373.17 × 94,737.57
  4. Step 4: Simplify right side
    284,343.90x = 40,393,558,039.00
  5. Step 5: Solve for x
    x = 40,393,558,039.00/284,343.90
  6. Step 6: Final answer
    x = 142,058.82

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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.