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Finding the Fourth Proportional to 190,882.60, 286,356.30 and 57,761.80

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Solution

The fourth proportional to 190,882.60, 286,356.30 and 57,761.80 is: 86,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,882.60 : 286,356.30 = 57,761.80 : x
  2. Step 2: Convert to fraction form
    190,882.60/286,356.30 = 57,761.80/x
  3. Step 3: Cross multiply
    190,882.60x = 286,356.30 × 57,761.80
  4. Step 4: Simplify right side
    190,882.60x = 16,540,455,329.34
  5. Step 5: Solve for x
    x = 16,540,455,329.34/190,882.60
  6. Step 6: Final answer
    x = 86,652.50

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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.