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Finding the Fourth Proportional to 176,758.17, 265,137.80 and 43,638.44

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Solution

The fourth proportional to 176,758.17, 265,137.80 and 43,638.44 is: 65,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,758.17 : 265,137.80 = 43,638.44 : x
  2. Step 2: Convert to fraction form
    176,758.17/265,137.80 = 43,638.44/x
  3. Step 3: Cross multiply
    176,758.17x = 265,137.80 × 43,638.44
  4. Step 4: Simplify right side
    176,758.17x = 11,570,200,748.97
  5. Step 5: Solve for x
    x = 11,570,200,748.97/176,758.17
  6. Step 6: Final answer
    x = 65,457.80

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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.