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Finding the Fourth Proportional to 186,765.64, 280,323.42 and 86,994.70

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Solution

The fourth proportional to 186,765.64, 280,323.42 and 86,994.70 is: 130,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,765.64 : 280,323.42 = 86,994.70 : x
  2. Step 2: Convert to fraction form
    186,765.64/280,323.42 = 86,994.70/x
  3. Step 3: Cross multiply
    186,765.64x = 280,323.42 × 86,994.70
  4. Step 4: Simplify right side
    186,765.64x = 24,386,651,825.87
  5. Step 5: Solve for x
    x = 24,386,651,825.87/186,765.64
  6. Step 6: Final answer
    x = 130,573.55

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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.