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Finding the Fourth Proportional to 210,059.34, 289,878.39 and 114,560.34

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Solution

The fourth proportional to 210,059.34, 289,878.39 and 114,560.34 is: 158,091.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,059.34 : 289,878.39 = 114,560.34 : x
  2. Step 2: Convert to fraction form
    210,059.34/289,878.39 = 114,560.34/x
  3. Step 3: Cross multiply
    210,059.34x = 289,878.39 × 114,560.34
  4. Step 4: Simplify right side
    210,059.34x = 33,208,566,917.05
  5. Step 5: Solve for x
    x = 33,208,566,917.05/210,059.34
  6. Step 6: Final answer
    x = 158,091.36

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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.