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Finding the Fourth Proportional to 197,858.16, 296,570.16 and 92,590.56

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Solution

The fourth proportional to 197,858.16, 296,570.16 and 92,590.56 is: 138,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,858.16 : 296,570.16 = 92,590.56 : x
  2. Step 2: Convert to fraction form
    197,858.16/296,570.16 = 92,590.56/x
  3. Step 3: Cross multiply
    197,858.16x = 296,570.16 × 92,590.56
  4. Step 4: Simplify right side
    197,858.16x = 27,459,597,193.69
  5. Step 5: Solve for x
    x = 27,459,597,193.69/197,858.16
  6. Step 6: Final answer
    x = 138,784.25

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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.