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Finding the Fourth Proportional to 201,880.20, 302,237.10 and 123,148.20

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Solution

The fourth proportional to 201,880.20, 302,237.10 and 123,148.20 is: 184,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,880.20 : 302,237.10 = 123,148.20 : x
  2. Step 2: Convert to fraction form
    201,880.20/302,237.10 = 123,148.20/x
  3. Step 3: Cross multiply
    201,880.20x = 302,237.10 × 123,148.20
  4. Step 4: Simplify right side
    201,880.20x = 37,219,954,838.22
  5. Step 5: Solve for x
    x = 37,219,954,838.22/201,880.20
  6. Step 6: Final answer
    x = 184,366.54

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1.5x scale

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.