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Finding the Fourth Proportional to 137,247.47, 189,358.31 and 76,808.51

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Solution

The fourth proportional to 137,247.47, 189,358.31 and 76,808.51 is: 105,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,247.47 : 189,358.31 = 76,808.51 : x
  2. Step 2: Convert to fraction form
    137,247.47/189,358.31 = 76,808.51/x
  3. Step 3: Cross multiply
    137,247.47x = 189,358.31 × 76,808.51
  4. Step 4: Simplify right side
    137,247.47x = 14,544,328,316.38
  5. Step 5: Solve for x
    x = 14,544,328,316.38/137,247.47
  6. Step 6: Final answer
    x = 105,971.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.