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Finding the Fourth Proportional to 186,913.57, 280,374.30 and 66,978.34

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Solution

The fourth proportional to 186,913.57, 280,374.30 and 66,978.34 is: 100,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,913.57 : 280,374.30 = 66,978.34 : x
  2. Step 2: Convert to fraction form
    186,913.57/280,374.30 = 66,978.34/x
  3. Step 3: Cross multiply
    186,913.57x = 280,374.30 × 66,978.34
  4. Step 4: Simplify right side
    186,913.57x = 18,779,005,192.66
  5. Step 5: Solve for x
    x = 18,779,005,192.66/186,913.57
  6. Step 6: Final answer
    x = 100,468.92

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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.