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Finding the Fourth Proportional to 210,893.56, 291,023.82 and 129,196.84

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Solution

The fourth proportional to 210,893.56, 291,023.82 and 129,196.84 is: 178,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,893.56 : 291,023.82 = 129,196.84 : x
  2. Step 2: Convert to fraction form
    210,893.56/291,023.82 = 129,196.84/x
  3. Step 3: Cross multiply
    210,893.56x = 291,023.82 × 129,196.84
  4. Step 4: Simplify right side
    210,893.56x = 37,599,357,908.73
  5. Step 5: Solve for x
    x = 37,599,357,908.73/210,893.56
  6. Step 6: Final answer
    x = 178,285.95

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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.