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Finding the Fourth Proportional to 186,654.61, 280,262.30 and 106,782.76

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Solution

The fourth proportional to 186,654.61, 280,262.30 and 106,782.76 is: 160,334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,654.61 : 280,262.30 = 106,782.76 : x
  2. Step 2: Convert to fraction form
    186,654.61/280,262.30 = 106,782.76/x
  3. Step 3: Cross multiply
    186,654.61x = 280,262.30 × 106,782.76
  4. Step 4: Simplify right side
    186,654.61x = 29,927,181,917.95
  5. Step 5: Solve for x
    x = 29,927,181,917.95/186,654.61
  6. Step 6: Final answer
    x = 160,334.54

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1.5x scale

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.