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Finding the Fourth Proportional to 137,224.34, 189,372.16 and 76,801.64

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Solution

The fourth proportional to 137,224.34, 189,372.16 and 76,801.64 is: 105,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,224.34 : 189,372.16 = 76,801.64 : x
  2. Step 2: Convert to fraction form
    137,224.34/189,372.16 = 76,801.64/x
  3. Step 3: Cross multiply
    137,224.34x = 189,372.16 × 76,801.64
  4. Step 4: Simplify right side
    137,224.34x = 14,544,091,607.48
  5. Step 5: Solve for x
    x = 14,544,091,607.48/137,224.34
  6. Step 6: Final answer
    x = 105,987.70

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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.