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Finding the Fourth Proportional to 186,505.63, 279,841.13 and 97,738.03

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Solution

The fourth proportional to 186,505.63, 279,841.13 and 97,738.03 is: 146,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,505.63 : 279,841.13 = 97,738.03 : x
  2. Step 2: Convert to fraction form
    186,505.63/279,841.13 = 97,738.03/x
  3. Step 3: Cross multiply
    186,505.63x = 279,841.13 × 97,738.03
  4. Step 4: Simplify right side
    186,505.63x = 27,351,120,303.92
  5. Step 5: Solve for x
    x = 27,351,120,303.92/186,505.63
  6. Step 6: Final answer
    x = 146,650.38

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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.