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Finding the Fourth Proportional to 201,843.60, 302,938.20 and 89,696.40

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Solution

The fourth proportional to 201,843.60, 302,938.20 and 89,696.40 is: 134,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,843.60 : 302,938.20 = 89,696.40 : x
  2. Step 2: Convert to fraction form
    201,843.60/302,938.20 = 89,696.40/x
  3. Step 3: Cross multiply
    201,843.60x = 302,938.20 × 89,696.40
  4. Step 4: Simplify right side
    201,843.60x = 27,172,465,962.48
  5. Step 5: Solve for x
    x = 27,172,465,962.48/201,843.60
  6. Step 6: Final answer
    x = 134,621.39

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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.