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Finding the Fourth Proportional to 180,852.40, 271,019.40 and 133,094.80

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Solution

The fourth proportional to 180,852.40, 271,019.40 and 133,094.80 is: 199,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,852.40 : 271,019.40 = 133,094.80 : x
  2. Step 2: Convert to fraction form
    180,852.40/271,019.40 = 133,094.80/x
  3. Step 3: Cross multiply
    180,852.40x = 271,019.40 × 133,094.80
  4. Step 4: Simplify right side
    180,852.40x = 36,071,272,839.12
  5. Step 5: Solve for x
    x = 36,071,272,839.12/180,852.40
  6. Step 6: Final answer
    x = 199,451.45

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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.