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Finding the Fourth Proportional to 213,068.01, 319,297.50 and 156,464.13

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Solution

The fourth proportional to 213,068.01, 319,297.50 and 156,464.13 is: 234,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,068.01 : 319,297.50 = 156,464.13 : x
  2. Step 2: Convert to fraction form
    213,068.01/319,297.50 = 156,464.13/x
  3. Step 3: Cross multiply
    213,068.01x = 319,297.50 × 156,464.13
  4. Step 4: Simplify right side
    213,068.01x = 49,958,605,548.68
  5. Step 5: Solve for x
    x = 49,958,605,548.68/213,068.01
  6. Step 6: Final answer
    x = 234,472.58

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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.