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Finding the Fourth Proportional to 186,896.47, 280,387.64 and 53,777.83

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Solution

The fourth proportional to 186,896.47, 280,387.64 and 53,777.83 is: 80,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,896.47 : 280,387.64 = 53,777.83 : x
  2. Step 2: Convert to fraction form
    186,896.47/280,387.64 = 53,777.83/x
  3. Step 3: Cross multiply
    186,896.47x = 280,387.64 × 53,777.83
  4. Step 4: Simplify right side
    186,896.47x = 15,078,638,838.02
  5. Step 5: Solve for x
    x = 15,078,638,838.02/186,896.47
  6. Step 6: Final answer
    x = 80,679.10

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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.