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Finding the Fourth Proportional to 223,142.04, 307,846.98 and 142,548.66

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Solution

The fourth proportional to 223,142.04, 307,846.98 and 142,548.66 is: 196,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,142.04 : 307,846.98 = 142,548.66 : x
  2. Step 2: Convert to fraction form
    223,142.04/307,846.98 = 142,548.66/x
  3. Step 3: Cross multiply
    223,142.04x = 307,846.98 × 142,548.66
  4. Step 4: Simplify right side
    223,142.04x = 43,883,174,484.05
  5. Step 5: Solve for x
    x = 43,883,174,484.05/223,142.04
  6. Step 6: Final answer
    x = 196,660.27

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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.