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Finding the Fourth Proportional to 194,950.96, 292,441.72 and 61,838.80

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Solution

The fourth proportional to 194,950.96, 292,441.72 and 61,838.80 is: 92,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,950.96 : 292,441.72 = 61,838.80 : x
  2. Step 2: Convert to fraction form
    194,950.96/292,441.72 = 61,838.80/x
  3. Step 3: Cross multiply
    194,950.96x = 292,441.72 × 61,838.80
  4. Step 4: Simplify right side
    194,950.96x = 18,084,245,034.74
  5. Step 5: Solve for x
    x = 18,084,245,034.74/194,950.96
  6. Step 6: Final answer
    x = 92,763.05

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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.