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Finding the Fourth Proportional to 363,506.26, 545,266.70 and 97,266.36

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Solution

The fourth proportional to 363,506.26, 545,266.70 and 97,266.36 is: 145,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,506.26 : 545,266.70 = 97,266.36 : x
  2. Step 2: Convert to fraction form
    363,506.26/545,266.70 = 97,266.36/x
  3. Step 3: Cross multiply
    363,506.26x = 545,266.70 × 97,266.36
  4. Step 4: Simplify right side
    363,506.26x = 53,036,107,138.21
  5. Step 5: Solve for x
    x = 53,036,107,138.21/363,506.26
  6. Step 6: Final answer
    x = 145,901.50

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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.