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Finding the Fourth Proportional to 235,814.80, 353,722.20 and 189,158.80

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Solution

The fourth proportional to 235,814.80, 353,722.20 and 189,158.80 is: 283,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,814.80 : 353,722.20 = 189,158.80 : x
  2. Step 2: Convert to fraction form
    235,814.80/353,722.20 = 189,158.80/x
  3. Step 3: Cross multiply
    235,814.80x = 353,722.20 × 189,158.80
  4. Step 4: Simplify right side
    235,814.80x = 66,909,666,885.36
  5. Step 5: Solve for x
    x = 66,909,666,885.36/235,814.80
  6. Step 6: Final answer
    x = 283,738.20

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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.