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Finding the Fourth Proportional to 137,829.76, 190,225.64 and 84,145.90

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Solution

The fourth proportional to 137,829.76, 190,225.64 and 84,145.90 is: 116,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,829.76 : 190,225.64 = 84,145.90 : x
  2. Step 2: Convert to fraction form
    137,829.76/190,225.64 = 84,145.90/x
  3. Step 3: Cross multiply
    137,829.76x = 190,225.64 × 84,145.90
  4. Step 4: Simplify right side
    137,829.76x = 16,006,707,205.31
  5. Step 5: Solve for x
    x = 16,006,707,205.31/137,829.76
  6. Step 6: Final answer
    x = 116,133.90

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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.