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Finding the Fourth Proportional to 162,015.20, 243,022.80 and 146,268.80

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Solution

The fourth proportional to 162,015.20, 243,022.80 and 146,268.80 is: 219,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,015.20 : 243,022.80 = 146,268.80 : x
  2. Step 2: Convert to fraction form
    162,015.20/243,022.80 = 146,268.80/x
  3. Step 3: Cross multiply
    162,015.20x = 243,022.80 × 146,268.80
  4. Step 4: Simplify right side
    162,015.20x = 35,546,653,328.64
  5. Step 5: Solve for x
    x = 35,546,653,328.64/162,015.20
  6. Step 6: Final answer
    x = 219,403.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.