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Finding the Fourth Proportional to 213,532.60, 320,153.10 and 101,266.60

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Solution

The fourth proportional to 213,532.60, 320,153.10 and 101,266.60 is: 151,830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,532.60 : 320,153.10 = 101,266.60 : x
  2. Step 2: Convert to fraction form
    213,532.60/320,153.10 = 101,266.60/x
  3. Step 3: Cross multiply
    213,532.60x = 320,153.10 × 101,266.60
  4. Step 4: Simplify right side
    213,532.60x = 32,420,815,916.46
  5. Step 5: Solve for x
    x = 32,420,815,916.46/213,532.60
  6. Step 6: Final answer
    x = 151,830.76

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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.