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Finding the Fourth Proportional to 194,312.40, 291,468.60 and 111,214.80

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Solution

The fourth proportional to 194,312.40, 291,468.60 and 111,214.80 is: 166,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,312.40 : 291,468.60 = 111,214.80 : x
  2. Step 2: Convert to fraction form
    194,312.40/291,468.60 = 111,214.80/x
  3. Step 3: Cross multiply
    194,312.40x = 291,468.60 × 111,214.80
  4. Step 4: Simplify right side
    194,312.40x = 32,415,622,055.28
  5. Step 5: Solve for x
    x = 32,415,622,055.28/194,312.40
  6. Step 6: Final answer
    x = 166,822.20

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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.