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Finding the Fourth Proportional to 103,811.42, 143,259.73 and 56,064.78

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Solution

The fourth proportional to 103,811.42, 143,259.73 and 56,064.78 is: 77,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,811.42 : 143,259.73 = 56,064.78 : x
  2. Step 2: Convert to fraction form
    103,811.42/143,259.73 = 56,064.78/x
  3. Step 3: Cross multiply
    103,811.42x = 143,259.73 × 56,064.78
  4. Step 4: Simplify right side
    103,811.42x = 8,031,825,105.15
  5. Step 5: Solve for x
    x = 8,031,825,105.15/103,811.42
  6. Step 6: Final answer
    x = 77,369.38

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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.