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Finding the Fourth Proportional to 315,172.60, 435,035.22 and 194,351.80

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Solution

The fourth proportional to 315,172.60, 435,035.22 and 194,351.80 is: 268,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,172.60 : 435,035.22 = 194,351.80 : x
  2. Step 2: Convert to fraction form
    315,172.60/435,035.22 = 194,351.80/x
  3. Step 3: Cross multiply
    315,172.60x = 435,035.22 × 194,351.80
  4. Step 4: Simplify right side
    315,172.60x = 84,549,878,070.40
  5. Step 5: Solve for x
    x = 84,549,878,070.40/315,172.60
  6. Step 6: Final answer
    x = 268,265.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.