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Finding the Fourth Proportional to 227,638.40, 341,457.60 and 77,828.90

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Solution

The fourth proportional to 227,638.40, 341,457.60 and 77,828.90 is: 116,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,638.40 : 341,457.60 = 77,828.90 : x
  2. Step 2: Convert to fraction form
    227,638.40/341,457.60 = 77,828.90/x
  3. Step 3: Cross multiply
    227,638.40x = 341,457.60 × 77,828.90
  4. Step 4: Simplify right side
    227,638.40x = 26,575,269,404.64
  5. Step 5: Solve for x
    x = 26,575,269,404.64/227,638.40
  6. Step 6: Final answer
    x = 116,743.35

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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.