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Finding the Fourth Proportional to 194,342.40, 291,859.20 and 141,811.20

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Solution

The fourth proportional to 194,342.40, 291,859.20 and 141,811.20 is: 212,968.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,342.40 : 291,859.20 = 141,811.20 : x
  2. Step 2: Convert to fraction form
    194,342.40/291,859.20 = 141,811.20/x
  3. Step 3: Cross multiply
    194,342.40x = 291,859.20 × 141,811.20
  4. Step 4: Simplify right side
    194,342.40x = 41,388,903,383.04
  5. Step 5: Solve for x
    x = 41,388,903,383.04/194,342.40
  6. Step 6: Final answer
    x = 212,968.98

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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.