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Finding the Fourth Proportional to 194,128.53, 291,193.01 and 61,020.42

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Solution

The fourth proportional to 194,128.53, 291,193.01 and 61,020.42 is: 91,530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,128.53 : 291,193.01 = 61,020.42 : x
  2. Step 2: Convert to fraction form
    194,128.53/291,193.01 = 61,020.42/x
  3. Step 3: Cross multiply
    194,128.53x = 291,193.01 × 61,020.42
  4. Step 4: Simplify right side
    194,128.53x = 17,768,719,466.16
  5. Step 5: Solve for x
    x = 17,768,719,466.16/194,128.53
  6. Step 6: Final answer
    x = 91,530.70

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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.