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Finding the Fourth Proportional to 189,784.48, 284,706.24 and 63,385.60

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Solution

The fourth proportional to 189,784.48, 284,706.24 and 63,385.60 is: 95,088.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,784.48 : 284,706.24 = 63,385.60 : x
  2. Step 2: Convert to fraction form
    189,784.48/284,706.24 = 63,385.60/x
  3. Step 3: Cross multiply
    189,784.48x = 284,706.24 × 63,385.60
  4. Step 4: Simplify right side
    189,784.48x = 18,046,275,846.14
  5. Step 5: Solve for x
    x = 18,046,275,846.14/189,784.48
  6. Step 6: Final answer
    x = 95,088.26

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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.