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Finding the Fourth Proportional to 194,334.47, 290,843.29 and 119,502.01

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Solution

The fourth proportional to 194,334.47, 290,843.29 and 119,502.01 is: 178,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,334.47 : 290,843.29 = 119,502.01 : x
  2. Step 2: Convert to fraction form
    194,334.47/290,843.29 = 119,502.01/x
  3. Step 3: Cross multiply
    194,334.47x = 290,843.29 × 119,502.01
  4. Step 4: Simplify right side
    194,334.47x = 34,756,357,750.01
  5. Step 5: Solve for x
    x = 34,756,357,750.01/194,334.47
  6. Step 6: Final answer
    x = 178,848.14

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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.