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Finding the Fourth Proportional to 197,980.52, 296,970.80 and 57,739.16

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Solution

The fourth proportional to 197,980.52, 296,970.80 and 57,739.16 is: 86,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,980.52 : 296,970.80 = 57,739.16 : x
  2. Step 2: Convert to fraction form
    197,980.52/296,970.80 = 57,739.16/x
  3. Step 3: Cross multiply
    197,980.52x = 296,970.80 × 57,739.16
  4. Step 4: Simplify right side
    197,980.52x = 17,146,844,536.53
  5. Step 5: Solve for x
    x = 17,146,844,536.53/197,980.52
  6. Step 6: Final answer
    x = 86,608.75

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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.