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Finding the Fourth Proportional to 201,137.44, 301,830.74 and 116,937.23

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Solution

The fourth proportional to 201,137.44, 301,830.74 and 116,937.23 is: 175,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,137.44 : 301,830.74 = 116,937.23 : x
  2. Step 2: Convert to fraction form
    201,137.44/301,830.74 = 116,937.23/x
  3. Step 3: Cross multiply
    201,137.44x = 301,830.74 × 116,937.23
  4. Step 4: Simplify right side
    201,137.44x = 35,295,248,570.61
  5. Step 5: Solve for x
    x = 35,295,248,570.61/201,137.44
  6. Step 6: Final answer
    x = 175,478.27

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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.