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Finding the Fourth Proportional to 209,852.56, 314,725.92 and 60,093.82

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Solution

The fourth proportional to 209,852.56, 314,725.92 and 60,093.82 is: 90,125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,852.56 : 314,725.92 = 60,093.82 : x
  2. Step 2: Convert to fraction form
    209,852.56/314,725.92 = 60,093.82/x
  3. Step 3: Cross multiply
    209,852.56x = 314,725.92 × 60,093.82
  4. Step 4: Simplify right side
    209,852.56x = 18,913,082,785.81
  5. Step 5: Solve for x
    x = 18,913,082,785.81/209,852.56
  6. Step 6: Final answer
    x = 90,125.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.