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Finding the Fourth Proportional to 282,015.74, 422,925.06 and 113,492.33

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Solution

The fourth proportional to 282,015.74, 422,925.06 and 113,492.33 is: 170,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,015.74 : 422,925.06 = 113,492.33 : x
  2. Step 2: Convert to fraction form
    282,015.74/422,925.06 = 113,492.33/x
  3. Step 3: Cross multiply
    282,015.74x = 422,925.06 × 113,492.33
  4. Step 4: Simplify right side
    282,015.74x = 47,998,750,474.79
  5. Step 5: Solve for x
    x = 47,998,750,474.79/282,015.74
  6. Step 6: Final answer
    x = 170,198.84

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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.