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Finding the Fourth Proportional to 186,496.20, 279,744.30 and 156,971.70

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Solution

The fourth proportional to 186,496.20, 279,744.30 and 156,971.70 is: 235,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,496.20 : 279,744.30 = 156,971.70 : x
  2. Step 2: Convert to fraction form
    186,496.20/279,744.30 = 156,971.70/x
  3. Step 3: Cross multiply
    186,496.20x = 279,744.30 × 156,971.70
  4. Step 4: Simplify right side
    186,496.20x = 43,911,938,336.31
  5. Step 5: Solve for x
    x = 43,911,938,336.31/186,496.20
  6. Step 6: Final answer
    x = 235,457.55

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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.