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Finding the Fourth Proportional to 200,735.20, 301,102.80 and 121,873.60

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Solution

The fourth proportional to 200,735.20, 301,102.80 and 121,873.60 is: 182,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,735.20 : 301,102.80 = 121,873.60 : x
  2. Step 2: Convert to fraction form
    200,735.20/301,102.80 = 121,873.60/x
  3. Step 3: Cross multiply
    200,735.20x = 301,102.80 × 121,873.60
  4. Step 4: Simplify right side
    200,735.20x = 36,696,482,206.08
  5. Step 5: Solve for x
    x = 36,696,482,206.08/200,735.20
  6. Step 6: Final answer
    x = 182,810.40

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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.