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Finding the Fourth Proportional to 186,636.87, 257,558.88 and 106,064.55

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Solution

The fourth proportional to 186,636.87, 257,558.88 and 106,064.55 is: 146,369.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,636.87 : 257,558.88 = 106,064.55 : x
  2. Step 2: Convert to fraction form
    186,636.87/257,558.88 = 106,064.55/x
  3. Step 3: Cross multiply
    186,636.87x = 257,558.88 × 106,064.55
  4. Step 4: Simplify right side
    186,636.87x = 27,317,866,705.70
  5. Step 5: Solve for x
    x = 27,317,866,705.70/186,636.87
  6. Step 6: Final answer
    x = 146,369.08

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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.