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Finding the Fourth Proportional to 201,777.60, 302,763.60 and 154,376.40

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Solution

The fourth proportional to 201,777.60, 302,763.60 and 154,376.40 is: 231,638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,777.60 : 302,763.60 = 154,376.40 : x
  2. Step 2: Convert to fraction form
    201,777.60/302,763.60 = 154,376.40/x
  3. Step 3: Cross multiply
    201,777.60x = 302,763.60 × 154,376.40
  4. Step 4: Simplify right side
    201,777.60x = 46,739,554,619.04
  5. Step 5: Solve for x
    x = 46,739,554,619.04/201,777.60
  6. Step 6: Final answer
    x = 231,638.97

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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.