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Finding the Fourth Proportional to 189,537.84, 284,389.74 and 89,769.24

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Solution

The fourth proportional to 189,537.84, 284,389.74 and 89,769.24 is: 134,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,537.84 : 284,389.74 = 89,769.24 : x
  2. Step 2: Convert to fraction form
    189,537.84/284,389.74 = 89,769.24/x
  3. Step 3: Cross multiply
    189,537.84x = 284,389.74 × 89,769.24
  4. Step 4: Simplify right side
    189,537.84x = 25,529,450,823.60
  5. Step 5: Solve for x
    x = 25,529,450,823.60/189,537.84
  6. Step 6: Final answer
    x = 134,693.16

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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.