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Finding the Fourth Proportional to 209,270.40, 313,871.97 and 57,432

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Solution

The fourth proportional to 209,270.40, 313,871.97 and 57,432 is: 86,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,270.40 : 313,871.97 = 57,432 : x
  2. Step 2: Convert to fraction form
    209,270.40/313,871.97 = 57,432/x
  3. Step 3: Cross multiply
    209,270.40x = 313,871.97 × 57,432
  4. Step 4: Simplify right side
    209,270.40x = 18,026,294,981.04
  5. Step 5: Solve for x
    x = 18,026,294,981.04/209,270.40
  6. Step 6: Final answer
    x = 86,138.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.