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Finding the Fourth Proportional to 212,331.30, 318,496.95 and 77,405.49

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Solution

The fourth proportional to 212,331.30, 318,496.95 and 77,405.49 is: 116,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,331.30 : 318,496.95 = 77,405.49 : x
  2. Step 2: Convert to fraction form
    212,331.30/318,496.95 = 77,405.49/x
  3. Step 3: Cross multiply
    212,331.30x = 318,496.95 × 77,405.49
  4. Step 4: Simplify right side
    212,331.30x = 24,653,412,478.26
  5. Step 5: Solve for x
    x = 24,653,412,478.26/212,331.30
  6. Step 6: Final answer
    x = 116,108.24

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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.