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Finding the Fourth Proportional to 176,307.56, 264,370.14 and 71,097.96

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Solution

The fourth proportional to 176,307.56, 264,370.14 and 71,097.96 is: 106,610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,307.56 : 264,370.14 = 71,097.96 : x
  2. Step 2: Convert to fraction form
    176,307.56/264,370.14 = 71,097.96/x
  3. Step 3: Cross multiply
    176,307.56x = 264,370.14 × 71,097.96
  4. Step 4: Simplify right side
    176,307.56x = 18,796,177,638.91
  5. Step 5: Solve for x
    x = 18,796,177,638.91/176,307.56
  6. Step 6: Final answer
    x = 106,610.16

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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.