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Finding the Fourth Proportional to 255,770, 383,810.52 and 108,026

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Solution

The fourth proportional to 255,770, 383,810.52 and 108,026 is: 162,104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,770 : 383,810.52 = 108,026 : x
  2. Step 2: Convert to fraction form
    255,770/383,810.52 = 108,026/x
  3. Step 3: Cross multiply
    255,770x = 383,810.52 × 108,026
  4. Step 4: Simplify right side
    255,770x = 41,461,515,233.52
  5. Step 5: Solve for x
    x = 41,461,515,233.52/255,770
  6. Step 6: Final answer
    x = 162,104.68

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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.