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Finding the Fourth Proportional to 213,656.64, 294,883.14 and 128,773.80

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Solution

The fourth proportional to 213,656.64, 294,883.14 and 128,773.80 is: 177,730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,656.64 : 294,883.14 = 128,773.80 : x
  2. Step 2: Convert to fraction form
    213,656.64/294,883.14 = 128,773.80/x
  3. Step 3: Cross multiply
    213,656.64x = 294,883.14 × 128,773.80
  4. Step 4: Simplify right side
    213,656.64x = 37,973,222,493.73
  5. Step 5: Solve for x
    x = 37,973,222,493.73/213,656.64
  6. Step 6: Final answer
    x = 177,730.13

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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.