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Finding the Fourth Proportional to 194,685.66, 291,902.93 and 76,368.96

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Solution

The fourth proportional to 194,685.66, 291,902.93 and 76,368.96 is: 114,504.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,685.66 : 291,902.93 = 76,368.96 : x
  2. Step 2: Convert to fraction form
    194,685.66/291,902.93 = 76,368.96/x
  3. Step 3: Cross multiply
    194,685.66x = 291,902.93 × 76,368.96
  4. Step 4: Simplify right side
    194,685.66x = 22,292,321,725.54
  5. Step 5: Solve for x
    x = 22,292,321,725.54/194,685.66
  6. Step 6: Final answer
    x = 114,504.18

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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.