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Finding the Fourth Proportional to 186,741.30, 257,692.74 and 106,157.64

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Solution

The fourth proportional to 186,741.30, 257,692.74 and 106,157.64 is: 146,491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,741.30 : 257,692.74 = 106,157.64 : x
  2. Step 2: Convert to fraction form
    186,741.30/257,692.74 = 106,157.64/x
  3. Step 3: Cross multiply
    186,741.30x = 257,692.74 × 106,157.64
  4. Step 4: Simplify right side
    186,741.30x = 27,356,053,123.53
  5. Step 5: Solve for x
    x = 27,356,053,123.53/186,741.30
  6. Step 6: Final answer
    x = 146,491.71

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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.