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Finding the Fourth Proportional to 221,088.58, 305,102.25 and 120,486.50

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Solution

The fourth proportional to 221,088.58, 305,102.25 and 120,486.50 is: 166,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,088.58 : 305,102.25 = 120,486.50 : x
  2. Step 2: Convert to fraction form
    221,088.58/305,102.25 = 120,486.50/x
  3. Step 3: Cross multiply
    221,088.58x = 305,102.25 × 120,486.50
  4. Step 4: Simplify right side
    221,088.58x = 36,760,702,244.63
  5. Step 5: Solve for x
    x = 36,760,702,244.63/221,088.58
  6. Step 6: Final answer
    x = 166,271.38

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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.