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Finding the Fourth Proportional to 137,010.51, 189,083.36 and 76,583.70

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Solution

The fourth proportional to 137,010.51, 189,083.36 and 76,583.70 is: 105,690.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,010.51 : 189,083.36 = 76,583.70 : x
  2. Step 2: Convert to fraction form
    137,010.51/189,083.36 = 76,583.70/x
  3. Step 3: Cross multiply
    137,010.51x = 189,083.36 × 76,583.70
  4. Step 4: Simplify right side
    137,010.51x = 14,480,703,508.69
  5. Step 5: Solve for x
    x = 14,480,703,508.69/137,010.51
  6. Step 6: Final answer
    x = 105,690.46

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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.