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Finding the Fourth Proportional to 223,511.84, 308,013.20 and 185,326.80

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Solution

The fourth proportional to 223,511.84, 308,013.20 and 185,326.80 is: 255,391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,511.84 : 308,013.20 = 185,326.80 : x
  2. Step 2: Convert to fraction form
    223,511.84/308,013.20 = 185,326.80/x
  3. Step 3: Cross multiply
    223,511.84x = 308,013.20 × 185,326.80
  4. Step 4: Simplify right side
    223,511.84x = 57,083,100,713.76
  5. Step 5: Solve for x
    x = 57,083,100,713.76/223,511.84
  6. Step 6: Final answer
    x = 255,391.84

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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.