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Finding the Fourth Proportional to 213,089.94, 294,065.78 and 116,294.54

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Solution

The fourth proportional to 213,089.94, 294,065.78 and 116,294.54 is: 160,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,089.94 : 294,065.78 = 116,294.54 : x
  2. Step 2: Convert to fraction form
    213,089.94/294,065.78 = 116,294.54/x
  3. Step 3: Cross multiply
    213,089.94x = 294,065.78 × 116,294.54
  4. Step 4: Simplify right side
    213,089.94x = 34,198,242,563.04
  5. Step 5: Solve for x
    x = 34,198,242,563.04/213,089.94
  6. Step 6: Final answer
    x = 160,487.36

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1.5x scale

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.