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Finding the Fourth Proportional to 342,154.58, 513,198.89 and 105,433.70

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Solution

The fourth proportional to 342,154.58, 513,198.89 and 105,433.70 is: 158,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,154.58 : 513,198.89 = 105,433.70 : x
  2. Step 2: Convert to fraction form
    342,154.58/513,198.89 = 105,433.70/x
  3. Step 3: Cross multiply
    342,154.58x = 513,198.89 × 105,433.70
  4. Step 4: Simplify right side
    342,154.58x = 54,108,457,281.42
  5. Step 5: Solve for x
    x = 54,108,457,281.42/342,154.58
  6. Step 6: Final answer
    x = 158,140.39

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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.