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Finding the Fourth Proportional to 194,765.84, 291,972.42 and 76,405.40

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Solution

The fourth proportional to 194,765.84, 291,972.42 and 76,405.40 is: 114,538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,765.84 : 291,972.42 = 76,405.40 : x
  2. Step 2: Convert to fraction form
    194,765.84/291,972.42 = 76,405.40/x
  3. Step 3: Cross multiply
    194,765.84x = 291,972.42 × 76,405.40
  4. Step 4: Simplify right side
    194,765.84x = 22,308,269,539.07
  5. Step 5: Solve for x
    x = 22,308,269,539.07/194,765.84
  6. Step 6: Final answer
    x = 114,538.92

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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.