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Finding the Fourth Proportional to 213,366.89, 320,050.78 and 86,972.87

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Solution

The fourth proportional to 213,366.89, 320,050.78 and 86,972.87 is: 130,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,366.89 : 320,050.78 = 86,972.87 : x
  2. Step 2: Convert to fraction form
    213,366.89/320,050.78 = 86,972.87/x
  3. Step 3: Cross multiply
    213,366.89x = 320,050.78 × 86,972.87
  4. Step 4: Simplify right side
    213,366.89x = 27,835,735,465.03
  5. Step 5: Solve for x
    x = 27,835,735,465.03/213,366.89
  6. Step 6: Final answer
    x = 130,459.49

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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.