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Finding the Fourth Proportional to 213,694.80, 294,806.16 and 128,763.60

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Solution

The fourth proportional to 213,694.80, 294,806.16 and 128,763.60 is: 177,637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,694.80 : 294,806.16 = 128,763.60 : x
  2. Step 2: Convert to fraction form
    213,694.80/294,806.16 = 128,763.60/x
  3. Step 3: Cross multiply
    213,694.80x = 294,806.16 × 128,763.60
  4. Step 4: Simplify right side
    213,694.80x = 37,960,302,463.78
  5. Step 5: Solve for x
    x = 37,960,302,463.78/213,694.80
  6. Step 6: Final answer
    x = 177,637.93

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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.