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Finding the Fourth Proportional to 189,498.66, 284,152.91 and 63,094.38

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Solution

The fourth proportional to 189,498.66, 284,152.91 and 63,094.38 is: 94,609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,498.66 : 284,152.91 = 63,094.38 : x
  2. Step 2: Convert to fraction form
    189,498.66/284,152.91 = 63,094.38/x
  3. Step 3: Cross multiply
    189,498.66x = 284,152.91 × 63,094.38
  4. Step 4: Simplify right side
    189,498.66x = 17,928,451,366.17
  5. Step 5: Solve for x
    x = 17,928,451,366.17/189,498.66
  6. Step 6: Final answer
    x = 94,609.91

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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.