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Finding the Fourth Proportional to 162,496, 243,767.32 and 50,185.82

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Solution

The fourth proportional to 162,496, 243,767.32 and 50,185.82 is: 75,285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,496 : 243,767.32 = 50,185.82 : x
  2. Step 2: Convert to fraction form
    162,496/243,767.32 = 50,185.82/x
  3. Step 3: Cross multiply
    162,496x = 243,767.32 × 50,185.82
  4. Step 4: Simplify right side
    162,496x = 12,233,662,843.40
  5. Step 5: Solve for x
    x = 12,233,662,843.40/162,496
  6. Step 6: Final answer
    x = 75,285.93

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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.