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Finding the Fourth Proportional to 145,481.21, 200,762.13 and 81,819

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Solution

The fourth proportional to 145,481.21, 200,762.13 and 81,819 is: 112,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,481.21 : 200,762.13 = 81,819 : x
  2. Step 2: Convert to fraction form
    145,481.21/200,762.13 = 81,819/x
  3. Step 3: Cross multiply
    145,481.21x = 200,762.13 × 81,819
  4. Step 4: Simplify right side
    145,481.21x = 16,426,156,305.38
  5. Step 5: Solve for x
    x = 16,426,156,305.38/145,481.21
  6. Step 6: Final answer
    x = 112,909.13

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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.