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Finding the Fourth Proportional to 186,477.42, 279,911.80 and 165,265.85

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Solution

The fourth proportional to 186,477.42, 279,911.80 and 165,265.85 is: 248,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,477.42 : 279,911.80 = 165,265.85 : x
  2. Step 2: Convert to fraction form
    186,477.42/279,911.80 = 165,265.85/x
  3. Step 3: Cross multiply
    186,477.42x = 279,911.80 × 165,265.85
  4. Step 4: Simplify right side
    186,477.42x = 46,259,860,359.05
  5. Step 5: Solve for x
    x = 46,259,860,359.05/186,477.42
  6. Step 6: Final answer
    x = 248,072.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.