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Finding the Fourth Proportional to 243,127.10, 364,690.74 and 65,633.96

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Solution

The fourth proportional to 243,127.10, 364,690.74 and 65,633.96 is: 98,450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,127.10 : 364,690.74 = 65,633.96 : x
  2. Step 2: Convert to fraction form
    243,127.10/364,690.74 = 65,633.96/x
  3. Step 3: Cross multiply
    243,127.10x = 364,690.74 × 65,633.96
  4. Step 4: Simplify right side
    243,127.10x = 23,936,097,441.53
  5. Step 5: Solve for x
    x = 23,936,097,441.53/243,127.10
  6. Step 6: Final answer
    x = 98,450.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.