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Finding the Fourth Proportional to 103,901.77, 143,384.22 and 56,155

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Solution

The fourth proportional to 103,901.77, 143,384.22 and 56,155 is: 77,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,901.77 : 143,384.22 = 56,155 : x
  2. Step 2: Convert to fraction form
    103,901.77/143,384.22 = 56,155/x
  3. Step 3: Cross multiply
    103,901.77x = 143,384.22 × 56,155
  4. Step 4: Simplify right side
    103,901.77x = 8,051,740,874.10
  5. Step 5: Solve for x
    x = 8,051,740,874.10/103,901.77
  6. Step 6: Final answer
    x = 77,493.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.