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Finding the Fourth Proportional to 186,852.80, 280,279.20 and 154,047.80

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Solution

The fourth proportional to 186,852.80, 280,279.20 and 154,047.80 is: 231,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,852.80 : 280,279.20 = 154,047.80 : x
  2. Step 2: Convert to fraction form
    186,852.80/280,279.20 = 154,047.80/x
  3. Step 3: Cross multiply
    186,852.80x = 280,279.20 × 154,047.80
  4. Step 4: Simplify right side
    186,852.80x = 43,176,394,145.76
  5. Step 5: Solve for x
    x = 43,176,394,145.76/186,852.80
  6. Step 6: Final answer
    x = 231,071.70

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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.