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Finding the Fourth Proportional to 105,799, 144,946.25 and 101,813.80

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Solution

The fourth proportional to 105,799, 144,946.25 and 101,813.80 is: 139,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,799 : 144,946.25 = 101,813.80 : x
  2. Step 2: Convert to fraction form
    105,799/144,946.25 = 101,813.80/x
  3. Step 3: Cross multiply
    105,799x = 144,946.25 × 101,813.80
  4. Step 4: Simplify right side
    105,799x = 14,757,528,508.25
  5. Step 5: Solve for x
    x = 14,757,528,508.25/105,799
  6. Step 6: Final answer
    x = 139,486.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.