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Finding the Fourth Proportional to 186,787.30, 280,180.95 and 153,982.30

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Solution

The fourth proportional to 186,787.30, 280,180.95 and 153,982.30 is: 230,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,787.30 : 280,180.95 = 153,982.30 : x
  2. Step 2: Convert to fraction form
    186,787.30/280,180.95 = 153,982.30/x
  3. Step 3: Cross multiply
    186,787.30x = 280,180.95 × 153,982.30
  4. Step 4: Simplify right side
    186,787.30x = 43,142,907,097.19
  5. Step 5: Solve for x
    x = 43,142,907,097.19/186,787.30
  6. Step 6: Final answer
    x = 230,973.45

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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.