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Finding the Fourth Proportional to 176,538.80, 264,921.60 and 97,709.60

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Solution

The fourth proportional to 176,538.80, 264,921.60 and 97,709.60 is: 146,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,538.80 : 264,921.60 = 97,709.60 : x
  2. Step 2: Convert to fraction form
    176,538.80/264,921.60 = 97,709.60/x
  3. Step 3: Cross multiply
    176,538.80x = 264,921.60 × 97,709.60
  4. Step 4: Simplify right side
    176,538.80x = 25,885,383,567.36
  5. Step 5: Solve for x
    x = 25,885,383,567.36/176,538.80
  6. Step 6: Final answer
    x = 146,627.16

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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.