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Finding the Fourth Proportional to 152,234.23, 210,078.92 and 84,254.05

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Solution

The fourth proportional to 152,234.23, 210,078.92 and 84,254.05 is: 116,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,234.23 : 210,078.92 = 84,254.05 : x
  2. Step 2: Convert to fraction form
    152,234.23/210,078.92 = 84,254.05/x
  3. Step 3: Cross multiply
    152,234.23x = 210,078.92 × 84,254.05
  4. Step 4: Simplify right side
    152,234.23x = 17,699,999,408.36
  5. Step 5: Solve for x
    x = 17,699,999,408.36/152,234.23
  6. Step 6: Final answer
    x = 116,268.20

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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.