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Finding the Fourth Proportional to 190,893.60, 286,372.80 and 57,772.80

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Solution

The fourth proportional to 190,893.60, 286,372.80 and 57,772.80 is: 86,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,893.60 : 286,372.80 = 57,772.80 : x
  2. Step 2: Convert to fraction form
    190,893.60/286,372.80 = 57,772.80/x
  3. Step 3: Cross multiply
    190,893.60x = 286,372.80 × 57,772.80
  4. Step 4: Simplify right side
    190,893.60x = 16,544,558,499.84
  5. Step 5: Solve for x
    x = 16,544,558,499.84/190,893.60
  6. Step 6: Final answer
    x = 86,669.01

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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.