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Finding the Fourth Proportional to 223,767.36, 308,806.20 and 128,292.12

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Solution

The fourth proportional to 223,767.36, 308,806.20 and 128,292.12 is: 177,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,767.36 : 308,806.20 = 128,292.12 : x
  2. Step 2: Convert to fraction form
    223,767.36/308,806.20 = 128,292.12/x
  3. Step 3: Cross multiply
    223,767.36x = 308,806.20 × 128,292.12
  4. Step 4: Simplify right side
    223,767.36x = 39,617,402,067.14
  5. Step 5: Solve for x
    x = 39,617,402,067.14/223,767.36
  6. Step 6: Final answer
    x = 177,047.28

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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.