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Finding the Fourth Proportional to 201,878.40, 302,477.40 and 159,596.40

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Solution

The fourth proportional to 201,878.40, 302,477.40 and 159,596.40 is: 239,125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,878.40 : 302,477.40 = 159,596.40 : x
  2. Step 2: Convert to fraction form
    201,878.40/302,477.40 = 159,596.40/x
  3. Step 3: Cross multiply
    201,878.40x = 302,477.40 × 159,596.40
  4. Step 4: Simplify right side
    201,878.40x = 48,274,304,121.36
  5. Step 5: Solve for x
    x = 48,274,304,121.36/201,878.40
  6. Step 6: Final answer
    x = 239,125.65

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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.