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Finding the Fourth Proportional to 190,893.70, 286,267.65 and 57,729.70

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Solution

The fourth proportional to 190,893.70, 286,267.65 and 57,729.70 is: 86,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,893.70 : 286,267.65 = 57,729.70 : x
  2. Step 2: Convert to fraction form
    190,893.70/286,267.65 = 57,729.70/x
  3. Step 3: Cross multiply
    190,893.70x = 286,267.65 × 57,729.70
  4. Step 4: Simplify right side
    190,893.70x = 16,526,145,554.21
  5. Step 5: Solve for x
    x = 16,526,145,554.21/190,893.70
  6. Step 6: Final answer
    x = 86,572.50

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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.