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Finding the Fourth Proportional to 103,959.45, 143,463.15 and 56,212.38

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Solution

The fourth proportional to 103,959.45, 143,463.15 and 56,212.38 is: 77,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,959.45 : 143,463.15 = 56,212.38 : x
  2. Step 2: Convert to fraction form
    103,959.45/143,463.15 = 56,212.38/x
  3. Step 3: Cross multiply
    103,959.45x = 143,463.15 × 56,212.38
  4. Step 4: Simplify right side
    103,959.45x = 8,064,405,103.80
  5. Step 5: Solve for x
    x = 8,064,405,103.80/103,959.45
  6. Step 6: Final answer
    x = 77,572.60

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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.