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Finding the Fourth Proportional to 186,564.87, 257,459.61 and 105,992.55

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Solution

The fourth proportional to 186,564.87, 257,459.61 and 105,992.55 is: 146,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,564.87 : 257,459.61 = 105,992.55 : x
  2. Step 2: Convert to fraction form
    186,564.87/257,459.61 = 105,992.55/x
  3. Step 3: Cross multiply
    186,564.87x = 257,459.61 × 105,992.55
  4. Step 4: Simplify right side
    186,564.87x = 27,288,800,983.38
  5. Step 5: Solve for x
    x = 27,288,800,983.38/186,564.87
  6. Step 6: Final answer
    x = 146,269.77

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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.