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Finding the Fourth Proportional to 194,174.88, 291,262.02 and 61,066.74

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Solution

The fourth proportional to 194,174.88, 291,262.02 and 61,066.74 is: 91,600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,174.88 : 291,262.02 = 61,066.74 : x
  2. Step 2: Convert to fraction form
    194,174.88/291,262.02 = 61,066.74/x
  3. Step 3: Cross multiply
    194,174.88x = 291,262.02 × 61,066.74
  4. Step 4: Simplify right side
    194,174.88x = 17,786,422,047.21
  5. Step 5: Solve for x
    x = 17,786,422,047.21/194,174.88
  6. Step 6: Final answer
    x = 91,600.02

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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.