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Finding the Fourth Proportional to 227,487.48, 341,271.72 and 77,744.40

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Solution

The fourth proportional to 227,487.48, 341,271.72 and 77,744.40 is: 116,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,487.48 : 341,271.72 = 77,744.40 : x
  2. Step 2: Convert to fraction form
    227,487.48/341,271.72 = 77,744.40/x
  3. Step 3: Cross multiply
    227,487.48x = 341,271.72 × 77,744.40
  4. Step 4: Simplify right side
    227,487.48x = 26,531,965,108.37
  5. Step 5: Solve for x
    x = 26,531,965,108.37/227,487.48
  6. Step 6: Final answer
    x = 116,630.44

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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.