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Finding the Fourth Proportional to 235,500.10, 353,140.80 and 102,311.80

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Solution

The fourth proportional to 235,500.10, 353,140.80 and 102,311.80 is: 153,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,500.10 : 353,140.80 = 102,311.80 : x
  2. Step 2: Convert to fraction form
    235,500.10/353,140.80 = 102,311.80/x
  3. Step 3: Cross multiply
    235,500.10x = 353,140.80 × 102,311.80
  4. Step 4: Simplify right side
    235,500.10x = 36,130,470,901.44
  5. Step 5: Solve for x
    x = 36,130,470,901.44/235,500.10
  6. Step 6: Final answer
    x = 153,420.19

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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.