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Finding the Fourth Proportional to 102,089.34, 153,039.69 and 54,737.37

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Solution

The fourth proportional to 102,089.34, 153,039.69 and 54,737.37 is: 82,055.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,089.34 : 153,039.69 = 54,737.37 : x
  2. Step 2: Convert to fraction form
    102,089.34/153,039.69 = 54,737.37/x
  3. Step 3: Cross multiply
    102,089.34x = 153,039.69 × 54,737.37
  4. Step 4: Simplify right side
    102,089.34x = 8,376,990,136.22
  5. Step 5: Solve for x
    x = 8,376,990,136.22/102,089.34
  6. Step 6: Final answer
    x = 82,055.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.