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Finding the Fourth Proportional to 136,999.68, 189,076.32 and 76,580.16

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Solution

The fourth proportional to 136,999.68, 189,076.32 and 76,580.16 is: 105,689.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,999.68 : 189,076.32 = 76,580.16 : x
  2. Step 2: Convert to fraction form
    136,999.68/189,076.32 = 76,580.16/x
  3. Step 3: Cross multiply
    136,999.68x = 189,076.32 × 76,580.16
  4. Step 4: Simplify right side
    136,999.68x = 14,479,494,837.81
  5. Step 5: Solve for x
    x = 14,479,494,837.81/136,999.68
  6. Step 6: Final answer
    x = 105,689.99

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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.