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Finding the Fourth Proportional to 309,107.64, 463,727.88 and 95,871

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Solution

The fourth proportional to 309,107.64, 463,727.88 and 95,871 is: 143,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,107.64 : 463,727.88 = 95,871 : x
  2. Step 2: Convert to fraction form
    309,107.64/463,727.88 = 95,871/x
  3. Step 3: Cross multiply
    309,107.64x = 463,727.88 × 95,871
  4. Step 4: Simplify right side
    309,107.64x = 44,458,055,583.48
  5. Step 5: Solve for x
    x = 44,458,055,583.48/309,107.64
  6. Step 6: Final answer
    x = 143,827.10

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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.