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Finding the Fourth Proportional to 201,206.40, 301,809.60 and 178,461.60

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Solution

The fourth proportional to 201,206.40, 301,809.60 and 178,461.60 is: 267,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,206.40 : 301,809.60 = 178,461.60 : x
  2. Step 2: Convert to fraction form
    201,206.40/301,809.60 = 178,461.60/x
  3. Step 3: Cross multiply
    201,206.40x = 301,809.60 × 178,461.60
  4. Step 4: Simplify right side
    201,206.40x = 53,861,424,111.36
  5. Step 5: Solve for x
    x = 53,861,424,111.36/201,206.40
  6. Step 6: Final answer
    x = 267,692.40

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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.