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Finding the Fourth Proportional to 162,232.36, 223,866.06 and 90,602.44

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Solution

The fourth proportional to 162,232.36, 223,866.06 and 90,602.44 is: 125,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,232.36 : 223,866.06 = 90,602.44 : x
  2. Step 2: Convert to fraction form
    162,232.36/223,866.06 = 90,602.44/x
  3. Step 3: Cross multiply
    162,232.36x = 223,866.06 × 90,602.44
  4. Step 4: Simplify right side
    162,232.36x = 20,282,811,269.19
  5. Step 5: Solve for x
    x = 20,282,811,269.19/162,232.36
  6. Step 6: Final answer
    x = 125,023.22

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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.