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Finding the Fourth Proportional to 137,828.67, 190,203.57 and 77,399.35

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Solution

The fourth proportional to 137,828.67, 190,203.57 and 77,399.35 is: 106,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,828.67 : 190,203.57 = 77,399.35 : x
  2. Step 2: Convert to fraction form
    137,828.67/190,203.57 = 77,399.35/x
  3. Step 3: Cross multiply
    137,828.67x = 190,203.57 × 77,399.35
  4. Step 4: Simplify right side
    137,828.67x = 14,721,632,210.17
  5. Step 5: Solve for x
    x = 14,721,632,210.17/137,828.67
  6. Step 6: Final answer
    x = 106,811.11

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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.