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Finding the Fourth Proportional to 137,564.41, 189,834.93 and 83,829.82

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Solution

The fourth proportional to 137,564.41, 189,834.93 and 83,829.82 is: 115,682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,564.41 : 189,834.93 = 83,829.82 : x
  2. Step 2: Convert to fraction form
    137,564.41/189,834.93 = 83,829.82/x
  3. Step 3: Cross multiply
    137,564.41x = 189,834.93 × 83,829.82
  4. Step 4: Simplify right side
    137,564.41x = 15,913,827,537.03
  5. Step 5: Solve for x
    x = 15,913,827,537.03/137,564.41
  6. Step 6: Final answer
    x = 115,682.74

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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.