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Finding the Fourth Proportional to 230,525.96, 345,705.75 and 97,416.50

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Solution

The fourth proportional to 230,525.96, 345,705.75 and 97,416.50 is: 146,089.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,525.96 : 345,705.75 = 97,416.50 : x
  2. Step 2: Convert to fraction form
    230,525.96/345,705.75 = 97,416.50/x
  3. Step 3: Cross multiply
    230,525.96x = 345,705.75 × 97,416.50
  4. Step 4: Simplify right side
    230,525.96x = 33,677,442,466.35
  5. Step 5: Solve for x
    x = 33,677,442,466.35/230,525.96
  6. Step 6: Final answer
    x = 146,089.59

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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.