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Finding the Fourth Proportional to 105,051.33, 144,971.88 and 57,305.68

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Solution

The fourth proportional to 105,051.33, 144,971.88 and 57,305.68 is: 79,082.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,051.33 : 144,971.88 = 57,305.68 : x
  2. Step 2: Convert to fraction form
    105,051.33/144,971.88 = 57,305.68/x
  3. Step 3: Cross multiply
    105,051.33x = 144,971.88 × 57,305.68
  4. Step 4: Simplify right side
    105,051.33x = 8,307,712,164.28
  5. Step 5: Solve for x
    x = 8,307,712,164.28/105,051.33
  6. Step 6: Final answer
    x = 79,082.41

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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.