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Finding the Fourth Proportional to 284,188.14, 425,981.84 and 94,597.92

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Solution

The fourth proportional to 284,188.14, 425,981.84 and 94,597.92 is: 141,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,188.14 : 425,981.84 = 94,597.92 : x
  2. Step 2: Convert to fraction form
    284,188.14/425,981.84 = 94,597.92/x
  3. Step 3: Cross multiply
    284,188.14x = 425,981.84 × 94,597.92
  4. Step 4: Simplify right side
    284,188.14x = 40,296,996,021.77
  5. Step 5: Solve for x
    x = 40,296,996,021.77/284,188.14
  6. Step 6: Final answer
    x = 141,796.90

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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.