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Finding the Fourth Proportional to 268,537.23, 402,442.70 and 102,234.51

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Solution

The fourth proportional to 268,537.23, 402,442.70 and 102,234.51 is: 153,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,537.23 : 402,442.70 = 102,234.51 : x
  2. Step 2: Convert to fraction form
    268,537.23/402,442.70 = 102,234.51/x
  3. Step 3: Cross multiply
    268,537.23x = 402,442.70 × 102,234.51
  4. Step 4: Simplify right side
    268,537.23x = 41,143,531,726.40
  5. Step 5: Solve for x
    x = 41,143,531,726.40/268,537.23
  6. Step 6: Final answer
    x = 153,213.51

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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.