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Finding the Fourth Proportional to 194,147.96, 291,291.59 and 75,904.16

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Solution

The fourth proportional to 194,147.96, 291,291.59 and 75,904.16 is: 113,883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,147.96 : 291,291.59 = 75,904.16 : x
  2. Step 2: Convert to fraction form
    194,147.96/291,291.59 = 75,904.16/x
  3. Step 3: Cross multiply
    194,147.96x = 291,291.59 × 75,904.16
  4. Step 4: Simplify right side
    194,147.96x = 22,110,242,187.32
  5. Step 5: Solve for x
    x = 22,110,242,187.32/194,147.96
  6. Step 6: Final answer
    x = 113,883.47

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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.