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Finding the Fourth Proportional to 186,697.68, 280,055.70 and 112,295.94

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Solution

The fourth proportional to 186,697.68, 280,055.70 and 112,295.94 is: 168,449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,697.68 : 280,055.70 = 112,295.94 : x
  2. Step 2: Convert to fraction form
    186,697.68/280,055.70 = 112,295.94/x
  3. Step 3: Cross multiply
    186,697.68x = 280,055.70 × 112,295.94
  4. Step 4: Simplify right side
    186,697.68x = 31,449,118,083.86
  5. Step 5: Solve for x
    x = 31,449,118,083.86/186,697.68
  6. Step 6: Final answer
    x = 168,449.43

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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.