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Finding the Fourth Proportional to 161,522, 242,292.72 and 50,714

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Solution

The fourth proportional to 161,522, 242,292.72 and 50,714 is: 76,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,522 : 242,292.72 = 50,714 : x
  2. Step 2: Convert to fraction form
    161,522/242,292.72 = 50,714/x
  3. Step 3: Cross multiply
    161,522x = 242,292.72 × 50,714
  4. Step 4: Simplify right side
    161,522x = 12,287,633,002.08
  5. Step 5: Solve for x
    x = 12,287,633,002.08/161,522
  6. Step 6: Final answer
    x = 76,074.05

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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.