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Finding the Fourth Proportional to 154,642.50, 213,403.05 and 90,984.42

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Solution

The fourth proportional to 154,642.50, 213,403.05 and 90,984.42 is: 125,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,642.50 : 213,403.05 = 90,984.42 : x
  2. Step 2: Convert to fraction form
    154,642.50/213,403.05 = 90,984.42/x
  3. Step 3: Cross multiply
    154,642.50x = 213,403.05 × 90,984.42
  4. Step 4: Simplify right side
    154,642.50x = 19,416,352,730.48
  5. Step 5: Solve for x
    x = 19,416,352,730.48/154,642.50
  6. Step 6: Final answer
    x = 125,556.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.