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Finding the Fourth Proportional to 194,495.60, 291,743.40 and 164,428.40

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Solution

The fourth proportional to 194,495.60, 291,743.40 and 164,428.40 is: 246,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,495.60 : 291,743.40 = 164,428.40 : x
  2. Step 2: Convert to fraction form
    194,495.60/291,743.40 = 164,428.40/x
  3. Step 3: Cross multiply
    194,495.60x = 291,743.40 × 164,428.40
  4. Step 4: Simplify right side
    194,495.60x = 47,970,900,472.56
  5. Step 5: Solve for x
    x = 47,970,900,472.56/194,495.60
  6. Step 6: Final answer
    x = 246,642.60

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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.