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Finding the Fourth Proportional to 146,194.04, 201,749.42 and 85,765.72

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Solution

The fourth proportional to 146,194.04, 201,749.42 and 85,765.72 is: 118,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,194.04 : 201,749.42 = 85,765.72 : x
  2. Step 2: Convert to fraction form
    146,194.04/201,749.42 = 85,765.72/x
  3. Step 3: Cross multiply
    146,194.04x = 201,749.42 × 85,765.72
  4. Step 4: Simplify right side
    146,194.04x = 17,303,184,265.88
  5. Step 5: Solve for x
    x = 17,303,184,265.88/146,194.04
  6. Step 6: Final answer
    x = 118,357.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.