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Finding the Fourth Proportional to 230,518.00, 345,693.93 and 97,408.64

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Solution

The fourth proportional to 230,518.00, 345,693.93 and 97,408.64 is: 146,077.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,518.00 : 345,693.93 = 97,408.64 : x
  2. Step 2: Convert to fraction form
    230,518.00/345,693.93 = 97,408.64/x
  3. Step 3: Cross multiply
    230,518.00x = 345,693.93 × 97,408.64
  4. Step 4: Simplify right side
    230,518.00x = 33,673,576,076.51
  5. Step 5: Solve for x
    x = 33,673,576,076.51/230,518.00
  6. Step 6: Final answer
    x = 146,077.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.