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Finding the Fourth Proportional to 152,774, 229,174.32 and 62,822.18

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Solution

The fourth proportional to 152,774, 229,174.32 and 62,822.18 is: 94,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,774 : 229,174.32 = 62,822.18 : x
  2. Step 2: Convert to fraction form
    152,774/229,174.32 = 62,822.18/x
  3. Step 3: Cross multiply
    152,774x = 229,174.32 × 62,822.18
  4. Step 4: Simplify right side
    152,774x = 14,397,230,382.42
  5. Step 5: Solve for x
    x = 14,397,230,382.42/152,774
  6. Step 6: Final answer
    x = 94,238.75

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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.