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Finding the Fourth Proportional to 227,549.70, 341,047.80 and 161,009.01

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Solution

The fourth proportional to 227,549.70, 341,047.80 and 161,009.01 is: 241,317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,549.70 : 341,047.80 = 161,009.01 : x
  2. Step 2: Convert to fraction form
    227,549.70/341,047.80 = 161,009.01/x
  3. Step 3: Cross multiply
    227,549.70x = 341,047.80 × 161,009.01
  4. Step 4: Simplify right side
    227,549.70x = 54,911,768,640.68
  5. Step 5: Solve for x
    x = 54,911,768,640.68/227,549.70
  6. Step 6: Final answer
    x = 241,317.69

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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.