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Finding the Fourth Proportional to 105,726.69, 145,903.02 and 57,980.37

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Solution

The fourth proportional to 105,726.69, 145,903.02 and 57,980.37 is: 80,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,726.69 : 145,903.02 = 57,980.37 : x
  2. Step 2: Convert to fraction form
    105,726.69/145,903.02 = 57,980.37/x
  3. Step 3: Cross multiply
    105,726.69x = 145,903.02 × 57,980.37
  4. Step 4: Simplify right side
    105,726.69x = 8,459,511,083.72
  5. Step 5: Solve for x
    x = 8,459,511,083.72/105,726.69
  6. Step 6: Final answer
    x = 80,013.01

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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.