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Finding the Fourth Proportional to 194,920.58, 292,145.42 and 94,930.94

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Solution

The fourth proportional to 194,920.58, 292,145.42 and 94,930.94 is: 142,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,920.58 : 292,145.42 = 94,930.94 : x
  2. Step 2: Convert to fraction form
    194,920.58/292,145.42 = 94,930.94/x
  3. Step 3: Cross multiply
    194,920.58x = 292,145.42 × 94,930.94
  4. Step 4: Simplify right side
    194,920.58x = 27,733,639,337.29
  5. Step 5: Solve for x
    x = 27,733,639,337.29/194,920.58
  6. Step 6: Final answer
    x = 142,281.74

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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.