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Finding the Fourth Proportional to 145,018.49, 200,122.49 and 80,483.98

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Solution

The fourth proportional to 145,018.49, 200,122.49 and 80,483.98 is: 111,066.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,018.49 : 200,122.49 = 80,483.98 : x
  2. Step 2: Convert to fraction form
    145,018.49/200,122.49 = 80,483.98/x
  3. Step 3: Cross multiply
    145,018.49x = 200,122.49 × 80,483.98
  4. Step 4: Simplify right side
    145,018.49x = 16,106,654,183.61
  5. Step 5: Solve for x
    x = 16,106,654,183.61/145,018.49
  6. Step 6: Final answer
    x = 111,066.21

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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.