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Finding the Fourth Proportional to 186,384.84, 279,571.32 and 111,000.48

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Solution

The fourth proportional to 186,384.84, 279,571.32 and 111,000.48 is: 166,497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,384.84 : 279,571.32 = 111,000.48 : x
  2. Step 2: Convert to fraction form
    186,384.84/279,571.32 = 111,000.48/x
  3. Step 3: Cross multiply
    186,384.84x = 279,571.32 × 111,000.48
  4. Step 4: Simplify right side
    186,384.84x = 31,032,550,714.23
  5. Step 5: Solve for x
    x = 31,032,550,714.23/186,384.84
  6. Step 6: Final answer
    x = 166,497.18

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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.