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Finding the Fourth Proportional to 264,841, 397,136.64 and 96,242.76

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Solution

The fourth proportional to 264,841, 397,136.64 and 96,242.76 is: 144,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,841 : 397,136.64 = 96,242.76 : x
  2. Step 2: Convert to fraction form
    264,841/397,136.64 = 96,242.76/x
  3. Step 3: Cross multiply
    264,841x = 397,136.64 × 96,242.76
  4. Step 4: Simplify right side
    264,841x = 38,221,526,330.73
  5. Step 5: Solve for x
    x = 38,221,526,330.73/264,841
  6. Step 6: Final answer
    x = 144,318.77

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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.