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Finding the Fourth Proportional to 186,677.60, 280,707.60 and 156,264.80

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Solution

The fourth proportional to 186,677.60, 280,707.60 and 156,264.80 is: 234,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,677.60 : 280,707.60 = 156,264.80 : x
  2. Step 2: Convert to fraction form
    186,677.60/280,707.60 = 156,264.80/x
  3. Step 3: Cross multiply
    186,677.60x = 280,707.60 × 156,264.80
  4. Step 4: Simplify right side
    186,677.60x = 43,864,716,972.48
  5. Step 5: Solve for x
    x = 43,864,716,972.48/186,677.60
  6. Step 6: Final answer
    x = 234,975.79

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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.