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Finding the Fourth Proportional to 364,105.52, 546,157.49 and 97,866.03

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Solution

The fourth proportional to 364,105.52, 546,157.49 and 97,866.03 is: 146,798.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,105.52 : 546,157.49 = 97,866.03 : x
  2. Step 2: Convert to fraction form
    364,105.52/546,157.49 = 97,866.03/x
  3. Step 3: Cross multiply
    364,105.52x = 546,157.49 × 97,866.03
  4. Step 4: Simplify right side
    364,105.52x = 53,450,264,811.73
  5. Step 5: Solve for x
    x = 53,450,264,811.73/364,105.52
  6. Step 6: Final answer
    x = 146,798.83

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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.