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Finding the Fourth Proportional to 196,840, 294,816.08 and 91,437.16

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Solution

The fourth proportional to 196,840, 294,816.08 and 91,437.16 is: 136,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,840 : 294,816.08 = 91,437.16 : x
  2. Step 2: Convert to fraction form
    196,840/294,816.08 = 91,437.16/x
  3. Step 3: Cross multiply
    196,840x = 294,816.08 × 91,437.16
  4. Step 4: Simplify right side
    196,840x = 26,957,145,077.53
  5. Step 5: Solve for x
    x = 26,957,145,077.53/196,840
  6. Step 6: Final answer
    x = 136,949.53

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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.