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Finding the Fourth Proportional to 275,051.34, 412,440.93 and 97,531.74

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Solution

The fourth proportional to 275,051.34, 412,440.93 and 97,531.74 is: 146,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,051.34 : 412,440.93 = 97,531.74 : x
  2. Step 2: Convert to fraction form
    275,051.34/412,440.93 = 97,531.74/x
  3. Step 3: Cross multiply
    275,051.34x = 412,440.93 × 97,531.74
  4. Step 4: Simplify right side
    275,051.34x = 40,226,081,550.12
  5. Step 5: Solve for x
    x = 40,226,081,550.12/275,051.34
  6. Step 6: Final answer
    x = 146,249.36

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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.