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Finding the Fourth Proportional to 223,512.84, 308,014.58 and 185,327.80

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Solution

The fourth proportional to 223,512.84, 308,014.58 and 185,327.80 is: 255,393.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,512.84 : 308,014.58 = 185,327.80 : x
  2. Step 2: Convert to fraction form
    223,512.84/308,014.58 = 185,327.80/x
  3. Step 3: Cross multiply
    223,512.84x = 308,014.58 × 185,327.80
  4. Step 4: Simplify right side
    223,512.84x = 57,083,664,479.32
  5. Step 5: Solve for x
    x = 57,083,664,479.32/223,512.84
  6. Step 6: Final answer
    x = 255,393.22

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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.