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Finding the Fourth Proportional to 137,102.09, 189,210.53 and 76,678.36

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Solution

The fourth proportional to 137,102.09, 189,210.53 and 76,678.36 is: 105,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,102.09 : 189,210.53 = 76,678.36 : x
  2. Step 2: Convert to fraction form
    137,102.09/189,210.53 = 76,678.36/x
  3. Step 3: Cross multiply
    137,102.09x = 189,210.53 × 76,678.36
  4. Step 4: Simplify right side
    137,102.09x = 14,508,352,035.97
  5. Step 5: Solve for x
    x = 14,508,352,035.97/137,102.09
  6. Step 6: Final answer
    x = 105,821.52

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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.