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Finding the Fourth Proportional to 213,326.83, 294,231.43 and 148,799.39

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Solution

The fourth proportional to 213,326.83, 294,231.43 and 148,799.39 is: 205,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,326.83 : 294,231.43 = 148,799.39 : x
  2. Step 2: Convert to fraction form
    213,326.83/294,231.43 = 148,799.39/x
  3. Step 3: Cross multiply
    213,326.83x = 294,231.43 × 148,799.39
  4. Step 4: Simplify right side
    213,326.83x = 43,781,457,387.41
  5. Step 5: Solve for x
    x = 43,781,457,387.41/213,326.83
  6. Step 6: Final answer
    x = 205,231.84

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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.