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Finding the Fourth Proportional to 102,164.25, 153,246.38 and 28,292.25

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Solution

The fourth proportional to 102,164.25, 153,246.38 and 28,292.25 is: 42,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,164.25 : 153,246.38 = 28,292.25 : x
  2. Step 2: Convert to fraction form
    102,164.25/153,246.38 = 28,292.25/x
  3. Step 3: Cross multiply
    102,164.25x = 153,246.38 × 28,292.25
  4. Step 4: Simplify right side
    102,164.25x = 4,335,684,753.09
  5. Step 5: Solve for x
    x = 4,335,684,753.09/102,164.25
  6. Step 6: Final answer
    x = 42,438.38

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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.