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Finding the Fourth Proportional to 200,734.60, 301,101.90 and 161,368.60

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Solution

The fourth proportional to 200,734.60, 301,101.90 and 161,368.60 is: 242,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,734.60 : 301,101.90 = 161,368.60 : x
  2. Step 2: Convert to fraction form
    200,734.60/301,101.90 = 161,368.60/x
  3. Step 3: Cross multiply
    200,734.60x = 301,101.90 × 161,368.60
  4. Step 4: Simplify right side
    200,734.60x = 48,588,392,060.34
  5. Step 5: Solve for x
    x = 48,588,392,060.34/200,734.60
  6. Step 6: Final answer
    x = 242,052.90

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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.