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Finding the Fourth Proportional to 212,531.40, 319,272.30 and 177,539.40

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Solution

The fourth proportional to 212,531.40, 319,272.30 and 177,539.40 is: 266,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,531.40 : 319,272.30 = 177,539.40 : x
  2. Step 2: Convert to fraction form
    212,531.40/319,272.30 = 177,539.40/x
  3. Step 3: Cross multiply
    212,531.40x = 319,272.30 × 177,539.40
  4. Step 4: Simplify right side
    212,531.40x = 56,683,412,578.62
  5. Step 5: Solve for x
    x = 56,683,412,578.62/212,531.40
  6. Step 6: Final answer
    x = 266,706.06

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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.