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Finding the Fourth Proportional to 176,099.80, 263,955.30 and 97,270.60

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Solution

The fourth proportional to 176,099.80, 263,955.30 and 97,270.60 is: 145,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,099.80 : 263,955.30 = 97,270.60 : x
  2. Step 2: Convert to fraction form
    176,099.80/263,955.30 = 97,270.60/x
  3. Step 3: Cross multiply
    176,099.80x = 263,955.30 × 97,270.60
  4. Step 4: Simplify right side
    176,099.80x = 25,675,090,404.18
  5. Step 5: Solve for x
    x = 25,675,090,404.18/176,099.80
  6. Step 6: Final answer
    x = 145,798.52

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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.