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Finding the Fourth Proportional to 262,903.88, 362,807.36 and 142,045.20

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Solution

The fourth proportional to 262,903.88, 362,807.36 and 142,045.20 is: 196,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,903.88 : 362,807.36 = 142,045.20 : x
  2. Step 2: Convert to fraction form
    262,903.88/362,807.36 = 142,045.20/x
  3. Step 3: Cross multiply
    262,903.88x = 362,807.36 × 142,045.20
  4. Step 4: Simplify right side
    262,903.88x = 51,535,043,302.45
  5. Step 5: Solve for x
    x = 51,535,043,302.45/262,903.88
  6. Step 6: Final answer
    x = 196,022.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.