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Finding the Fourth Proportional to 186,506.09, 279,841.84 and 97,738.50

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Solution

The fourth proportional to 186,506.09, 279,841.84 and 97,738.50 is: 146,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,506.09 : 279,841.84 = 97,738.50 : x
  2. Step 2: Convert to fraction form
    186,506.09/279,841.84 = 97,738.50/x
  3. Step 3: Cross multiply
    186,506.09x = 279,841.84 × 97,738.50
  4. Step 4: Simplify right side
    186,506.09x = 27,351,320,909.79
  5. Step 5: Solve for x
    x = 27,351,320,909.79/186,506.09
  6. Step 6: Final answer
    x = 146,651.08

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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.