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Finding the Fourth Proportional to 209,505.60, 314,339.04 and 97,243.20

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Solution

The fourth proportional to 209,505.60, 314,339.04 and 97,243.20 is: 145,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,505.60 : 314,339.04 = 97,243.20 : x
  2. Step 2: Convert to fraction form
    209,505.60/314,339.04 = 97,243.20/x
  3. Step 3: Cross multiply
    209,505.60x = 314,339.04 × 97,243.20
  4. Step 4: Simplify right side
    209,505.60x = 30,567,334,134.53
  5. Step 5: Solve for x
    x = 30,567,334,134.53/209,505.60
  6. Step 6: Final answer
    x = 145,902.23

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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.