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Finding the Fourth Proportional to 193,971.54, 290,957.31 and 53,730.21

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Solution

The fourth proportional to 193,971.54, 290,957.31 and 53,730.21 is: 80,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,971.54 : 290,957.31 = 53,730.21 : x
  2. Step 2: Convert to fraction form
    193,971.54/290,957.31 = 53,730.21/x
  3. Step 3: Cross multiply
    193,971.54x = 290,957.31 × 53,730.21
  4. Step 4: Simplify right side
    193,971.54x = 15,633,197,367.34
  5. Step 5: Solve for x
    x = 15,633,197,367.34/193,971.54
  6. Step 6: Final answer
    x = 80,595.32

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1.5x scale

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.