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Finding the Fourth Proportional to 190,289, 284,981.52 and 123,522.32

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Solution

The fourth proportional to 190,289, 284,981.52 and 123,522.32 is: 184,990.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,289 : 284,981.52 = 123,522.32 : x
  2. Step 2: Convert to fraction form
    190,289/284,981.52 = 123,522.32/x
  3. Step 3: Cross multiply
    190,289x = 284,981.52 × 123,522.32
  4. Step 4: Simplify right side
    190,289x = 35,201,578,507.53
  5. Step 5: Solve for x
    x = 35,201,578,507.53/190,289
  6. Step 6: Final answer
    x = 184,990.09

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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.