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Finding the Fourth Proportional to 200,729.60, 301,094.40 and 161,363.60

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Solution

The fourth proportional to 200,729.60, 301,094.40 and 161,363.60 is: 242,045.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,729.60 : 301,094.40 = 161,363.60 : x
  2. Step 2: Convert to fraction form
    200,729.60/301,094.40 = 161,363.60/x
  3. Step 3: Cross multiply
    200,729.60x = 301,094.40 × 161,363.60
  4. Step 4: Simplify right side
    200,729.60x = 48,585,676,323.84
  5. Step 5: Solve for x
    x = 48,585,676,323.84/200,729.60
  6. Step 6: Final answer
    x = 242,045.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.