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Finding the Fourth Proportional to 193,457, 290,187.36 and 58,522.16

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Solution

The fourth proportional to 193,457, 290,187.36 and 58,522.16 is: 87,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,457 : 290,187.36 = 58,522.16 : x
  2. Step 2: Convert to fraction form
    193,457/290,187.36 = 58,522.16/x
  3. Step 3: Cross multiply
    193,457x = 290,187.36 × 58,522.16
  4. Step 4: Simplify right side
    193,457x = 16,982,391,111.90
  5. Step 5: Solve for x
    x = 16,982,391,111.90/193,457
  6. Step 6: Final answer
    x = 87,783.80

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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.