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Finding the Fourth Proportional to 186,807.94, 257,768.93 and 106,226.54

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Solution

The fourth proportional to 186,807.94, 257,768.93 and 106,226.54 is: 146,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,807.94 : 257,768.93 = 106,226.54 : x
  2. Step 2: Convert to fraction form
    186,807.94/257,768.93 = 106,226.54/x
  3. Step 3: Cross multiply
    186,807.94x = 257,768.93 × 106,226.54
  4. Step 4: Simplify right side
    186,807.94x = 27,381,901,496.76
  5. Step 5: Solve for x
    x = 27,381,901,496.76/186,807.94
  6. Step 6: Final answer
    x = 146,577.83

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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.