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Finding the Fourth Proportional to 222,602.40, 334,162.80 and 144,043.20

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Solution

The fourth proportional to 222,602.40, 334,162.80 and 144,043.20 is: 216,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,602.40 : 334,162.80 = 144,043.20 : x
  2. Step 2: Convert to fraction form
    222,602.40/334,162.80 = 144,043.20/x
  3. Step 3: Cross multiply
    222,602.40x = 334,162.80 × 144,043.20
  4. Step 4: Simplify right side
    222,602.40x = 48,133,879,032.96
  5. Step 5: Solve for x
    x = 48,133,879,032.96/222,602.40
  6. Step 6: Final answer
    x = 216,232.53

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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.