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Finding the Fourth Proportional to 103,965.81, 143,472.87 and 56,219.19

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Solution

The fourth proportional to 103,965.81, 143,472.87 and 56,219.19 is: 77,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,965.81 : 143,472.87 = 56,219.19 : x
  2. Step 2: Convert to fraction form
    103,965.81/143,472.87 = 56,219.19/x
  3. Step 3: Cross multiply
    103,965.81x = 143,472.87 × 56,219.19
  4. Step 4: Simplify right side
    103,965.81x = 8,065,928,538.38
  5. Step 5: Solve for x
    x = 8,065,928,538.38/103,965.81
  6. Step 6: Final answer
    x = 77,582.51

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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.