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Finding the Fourth Proportional to 210,067.94, 289,893.58 and 114,574.34

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Solution

The fourth proportional to 210,067.94, 289,893.58 and 114,574.34 is: 158,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,067.94 : 289,893.58 = 114,574.34 : x
  2. Step 2: Convert to fraction form
    210,067.94/289,893.58 = 114,574.34/x
  3. Step 3: Cross multiply
    210,067.94x = 289,893.58 × 114,574.34
  4. Step 4: Simplify right side
    210,067.94x = 33,214,363,862.83
  5. Step 5: Solve for x
    x = 33,214,363,862.83/210,067.94
  6. Step 6: Final answer
    x = 158,112.49

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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.