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Finding the Fourth Proportional to 89,257.16, 123,178.74 and 53,453

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Solution

The fourth proportional to 89,257.16, 123,178.74 and 53,453 is: 73,767.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,257.16 : 123,178.74 = 53,453 : x
  2. Step 2: Convert to fraction form
    89,257.16/123,178.74 = 53,453/x
  3. Step 3: Cross multiply
    89,257.16x = 123,178.74 × 53,453
  4. Step 4: Simplify right side
    89,257.16x = 6,584,273,189.22
  5. Step 5: Solve for x
    x = 6,584,273,189.22/89,257.16
  6. Step 6: Final answer
    x = 73,767.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.