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Finding the Fourth Proportional to 223,738.16, 308,752.80 and 121,765.64

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Solution

The fourth proportional to 223,738.16, 308,752.80 and 121,765.64 is: 168,033.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,738.16 : 308,752.80 = 121,765.64 : x
  2. Step 2: Convert to fraction form
    223,738.16/308,752.80 = 121,765.64/x
  3. Step 3: Cross multiply
    223,738.16x = 308,752.80 × 121,765.64
  4. Step 4: Simplify right side
    223,738.16x = 37,595,482,293.79
  5. Step 5: Solve for x
    x = 37,595,482,293.79/223,738.16
  6. Step 6: Final answer
    x = 168,033.39

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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.