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Finding the Fourth Proportional to 200,546.40, 300,819.60 and 155,931.60

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Solution

The fourth proportional to 200,546.40, 300,819.60 and 155,931.60 is: 233,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,546.40 : 300,819.60 = 155,931.60 : x
  2. Step 2: Convert to fraction form
    200,546.40/300,819.60 = 155,931.60/x
  3. Step 3: Cross multiply
    200,546.40x = 300,819.60 × 155,931.60
  4. Step 4: Simplify right side
    200,546.40x = 46,907,281,539.36
  5. Step 5: Solve for x
    x = 46,907,281,539.36/200,546.40
  6. Step 6: Final answer
    x = 233,897.40

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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.