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Finding the Fourth Proportional to 197,124.80, 295,687.20 and 144,636.80

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Solution

The fourth proportional to 197,124.80, 295,687.20 and 144,636.80 is: 216,955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,124.80 : 295,687.20 = 144,636.80 : x
  2. Step 2: Convert to fraction form
    197,124.80/295,687.20 = 144,636.80/x
  3. Step 3: Cross multiply
    197,124.80x = 295,687.20 × 144,636.80
  4. Step 4: Simplify right side
    197,124.80x = 42,767,250,408.96
  5. Step 5: Solve for x
    x = 42,767,250,408.96/197,124.80
  6. Step 6: Final answer
    x = 216,955.20

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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.