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Finding the Fourth Proportional to 137,102.84, 189,201.16 and 76,673.48

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Solution

The fourth proportional to 137,102.84, 189,201.16 and 76,673.48 is: 105,808.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,102.84 : 189,201.16 = 76,673.48 : x
  2. Step 2: Convert to fraction form
    137,102.84/189,201.16 = 76,673.48/x
  3. Step 3: Cross multiply
    137,102.84x = 189,201.16 × 76,673.48
  4. Step 4: Simplify right side
    137,102.84x = 14,506,711,357.24
  5. Step 5: Solve for x
    x = 14,506,711,357.24/137,102.84
  6. Step 6: Final answer
    x = 105,808.98

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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.