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Finding the Fourth Proportional to 213,776.42, 321,160.95 and 202,297.50

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Solution

The fourth proportional to 213,776.42, 321,160.95 and 202,297.50 is: 303,915.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,776.42 : 321,160.95 = 202,297.50 : x
  2. Step 2: Convert to fraction form
    213,776.42/321,160.95 = 202,297.50/x
  3. Step 3: Cross multiply
    213,776.42x = 321,160.95 × 202,297.50
  4. Step 4: Simplify right side
    213,776.42x = 64,970,057,282.63
  5. Step 5: Solve for x
    x = 64,970,057,282.63/213,776.42
  6. Step 6: Final answer
    x = 303,915.93

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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.