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Finding the Fourth Proportional to 105,599.97, 145,726.73 and 57,200.99

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Solution

The fourth proportional to 105,599.97, 145,726.73 and 57,200.99 is: 78,936.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,599.97 : 145,726.73 = 57,200.99 : x
  2. Step 2: Convert to fraction form
    105,599.97/145,726.73 = 57,200.99/x
  3. Step 3: Cross multiply
    105,599.97x = 145,726.73 × 57,200.99
  4. Step 4: Simplify right side
    105,599.97x = 8,335,712,210.82
  5. Step 5: Solve for x
    x = 8,335,712,210.82/105,599.97
  6. Step 6: Final answer
    x = 78,936.69

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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.