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Finding the Fourth Proportional to 192,021.40, 288,032.10 and 160,917.40

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Solution

The fourth proportional to 192,021.40, 288,032.10 and 160,917.40 is: 241,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,021.40 : 288,032.10 = 160,917.40 : x
  2. Step 2: Convert to fraction form
    192,021.40/288,032.10 = 160,917.40/x
  3. Step 3: Cross multiply
    192,021.40x = 288,032.10 × 160,917.40
  4. Step 4: Simplify right side
    192,021.40x = 46,349,376,648.54
  5. Step 5: Solve for x
    x = 46,349,376,648.54/192,021.40
  6. Step 6: Final answer
    x = 241,376.10

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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.