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Finding the Fourth Proportional to 190,889.70, 286,261.65 and 57,725.70

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Solution

The fourth proportional to 190,889.70, 286,261.65 and 57,725.70 is: 86,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,889.70 : 286,261.65 = 57,725.70 : x
  2. Step 2: Convert to fraction form
    190,889.70/286,261.65 = 57,725.70/x
  3. Step 3: Cross multiply
    190,889.70x = 286,261.65 × 57,725.70
  4. Step 4: Simplify right side
    190,889.70x = 16,524,654,129.41
  5. Step 5: Solve for x
    x = 16,524,654,129.41/190,889.70
  6. Step 6: Final answer
    x = 86,566.50

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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.