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Finding the Fourth Proportional to 188,598.00, 260,257.31 and 106,931.74

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Solution

The fourth proportional to 188,598.00, 260,257.31 and 106,931.74 is: 147,561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,598.00 : 260,257.31 = 106,931.74 : x
  2. Step 2: Convert to fraction form
    188,598.00/260,257.31 = 106,931.74/x
  3. Step 3: Cross multiply
    188,598.00x = 260,257.31 × 106,931.74
  4. Step 4: Simplify right side
    188,598.00x = 27,829,766,471.36
  5. Step 5: Solve for x
    x = 27,829,766,471.36/188,598.00
  6. Step 6: Final answer
    x = 147,561.31

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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.