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Finding the Fourth Proportional to 200,865.60, 301,298.40 and 116,884.80

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Solution

The fourth proportional to 200,865.60, 301,298.40 and 116,884.80 is: 175,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,865.60 : 301,298.40 = 116,884.80 : x
  2. Step 2: Convert to fraction form
    200,865.60/301,298.40 = 116,884.80/x
  3. Step 3: Cross multiply
    200,865.60x = 301,298.40 × 116,884.80
  4. Step 4: Simplify right side
    200,865.60x = 35,217,203,224.32
  5. Step 5: Solve for x
    x = 35,217,203,224.32/200,865.60
  6. Step 6: Final answer
    x = 175,327.20

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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.