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Finding the Fourth Proportional to 186,764, 280,148.48 and 62,105.04

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Solution

The fourth proportional to 186,764, 280,148.48 and 62,105.04 is: 93,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,764 : 280,148.48 = 62,105.04 : x
  2. Step 2: Convert to fraction form
    186,764/280,148.48 = 62,105.04/x
  3. Step 3: Cross multiply
    186,764x = 280,148.48 × 62,105.04
  4. Step 4: Simplify right side
    186,764x = 17,398,632,556.34
  5. Step 5: Solve for x
    x = 17,398,632,556.34/186,764
  6. Step 6: Final answer
    x = 93,158.38

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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.