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Finding the Fourth Proportional to 201,522.80, 302,197.80 and 101,644.40

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Solution

The fourth proportional to 201,522.80, 302,197.80 and 101,644.40 is: 152,423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,522.80 : 302,197.80 = 101,644.40 : x
  2. Step 2: Convert to fraction form
    201,522.80/302,197.80 = 101,644.40/x
  3. Step 3: Cross multiply
    201,522.80x = 302,197.80 × 101,644.40
  4. Step 4: Simplify right side
    201,522.80x = 30,716,714,062.32
  5. Step 5: Solve for x
    x = 30,716,714,062.32/201,522.80
  6. Step 6: Final answer
    x = 152,423.02

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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.