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Finding the Fourth Proportional to 152,212.10, 228,318.15 and 82,228.10

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Solution

The fourth proportional to 152,212.10, 228,318.15 and 82,228.10 is: 123,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,212.10 : 228,318.15 = 82,228.10 : x
  2. Step 2: Convert to fraction form
    152,212.10/228,318.15 = 82,228.10/x
  3. Step 3: Cross multiply
    152,212.10x = 228,318.15 × 82,228.10
  4. Step 4: Simplify right side
    152,212.10x = 18,774,167,670.02
  5. Step 5: Solve for x
    x = 18,774,167,670.02/152,212.10
  6. Step 6: Final answer
    x = 123,342.15

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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.