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Finding the Fourth Proportional to 194,810.60, 292,014.30 and 105,876.20

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Solution

The fourth proportional to 194,810.60, 292,014.30 and 105,876.20 is: 158,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,810.60 : 292,014.30 = 105,876.20 : x
  2. Step 2: Convert to fraction form
    194,810.60/292,014.30 = 105,876.20/x
  3. Step 3: Cross multiply
    194,810.60x = 292,014.30 × 105,876.20
  4. Step 4: Simplify right side
    194,810.60x = 30,917,364,429.66
  5. Step 5: Solve for x
    x = 30,917,364,429.66/194,810.60
  6. Step 6: Final answer
    x = 158,704.73

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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.