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Finding the Fourth Proportional to 194,059.89, 291,073.16 and 118,138.72

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Solution

The fourth proportional to 194,059.89, 291,073.16 and 118,138.72 is: 177,197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,059.89 : 291,073.16 = 118,138.72 : x
  2. Step 2: Convert to fraction form
    194,059.89/291,073.16 = 118,138.72/x
  3. Step 3: Cross multiply
    194,059.89x = 291,073.16 × 118,138.72
  4. Step 4: Simplify right side
    194,059.89x = 34,387,009,958.06
  5. Step 5: Solve for x
    x = 34,387,009,958.06/194,059.89
  6. Step 6: Final answer
    x = 177,197.93

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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.