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Finding the Fourth Proportional to 186,967.64, 280,033.20 and 86,978.00

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Solution

The fourth proportional to 186,967.64, 280,033.20 and 86,978.00 is: 130,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,967.64 : 280,033.20 = 86,978.00 : x
  2. Step 2: Convert to fraction form
    186,967.64/280,033.20 = 86,978.00/x
  3. Step 3: Cross multiply
    186,967.64x = 280,033.20 × 86,978.00
  4. Step 4: Simplify right side
    186,967.64x = 24,356,726,269.43
  5. Step 5: Solve for x
    x = 24,356,726,269.43/186,967.64
  6. Step 6: Final answer
    x = 130,272.42

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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.