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Finding the Fourth Proportional to 213,294.88, 294,348.24 and 116,496.16

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Solution

The fourth proportional to 213,294.88, 294,348.24 and 116,496.16 is: 160,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,294.88 : 294,348.24 = 116,496.16 : x
  2. Step 2: Convert to fraction form
    213,294.88/294,348.24 = 116,496.16/x
  3. Step 3: Cross multiply
    213,294.88x = 294,348.24 × 116,496.16
  4. Step 4: Simplify right side
    213,294.88x = 34,290,439,662.76
  5. Step 5: Solve for x
    x = 34,290,439,662.76/213,294.88
  6. Step 6: Final answer
    x = 160,765.41

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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.