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Finding the Fourth Proportional to 201,678.84, 302,518.32 and 75,329.04

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Solution

The fourth proportional to 201,678.84, 302,518.32 and 75,329.04 is: 112,993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,678.84 : 302,518.32 = 75,329.04 : x
  2. Step 2: Convert to fraction form
    201,678.84/302,518.32 = 75,329.04/x
  3. Step 3: Cross multiply
    201,678.84x = 302,518.32 × 75,329.04
  4. Step 4: Simplify right side
    201,678.84x = 22,788,414,628.01
  5. Step 5: Solve for x
    x = 22,788,414,628.01/201,678.84
  6. Step 6: Final answer
    x = 112,993.58

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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.