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Finding the Fourth Proportional to 102,323.53, 153,478.14 and 38,269.50

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Solution

The fourth proportional to 102,323.53, 153,478.14 and 38,269.50 is: 57,401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,323.53 : 153,478.14 = 38,269.50 : x
  2. Step 2: Convert to fraction form
    102,323.53/153,478.14 = 38,269.50/x
  3. Step 3: Cross multiply
    102,323.53x = 153,478.14 × 38,269.50
  4. Step 4: Simplify right side
    102,323.53x = 5,873,531,678.73
  5. Step 5: Solve for x
    x = 5,873,531,678.73/102,323.53
  6. Step 6: Final answer
    x = 57,401.57

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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.