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Finding the Fourth Proportional to 227,412.96, 341,267.04 and 102,755.04

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Solution

The fourth proportional to 227,412.96, 341,267.04 and 102,755.04 is: 154,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,412.96 : 341,267.04 = 102,755.04 : x
  2. Step 2: Convert to fraction form
    227,412.96/341,267.04 = 102,755.04/x
  3. Step 3: Cross multiply
    227,412.96x = 341,267.04 × 102,755.04
  4. Step 4: Simplify right side
    227,412.96x = 35,066,908,345.88
  5. Step 5: Solve for x
    x = 35,066,908,345.88/227,412.96
  6. Step 6: Final answer
    x = 154,199.25

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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.