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Finding the Fourth Proportional to 232,008.30, 348,530.85 and 162,024.30

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Solution

The fourth proportional to 232,008.30, 348,530.85 and 162,024.30 is: 243,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,008.30 : 348,530.85 = 162,024.30 : x
  2. Step 2: Convert to fraction form
    232,008.30/348,530.85 = 162,024.30/x
  3. Step 3: Cross multiply
    232,008.30x = 348,530.85 × 162,024.30
  4. Step 4: Simplify right side
    232,008.30x = 56,470,466,999.66
  5. Step 5: Solve for x
    x = 56,470,466,999.66/232,008.30
  6. Step 6: Final answer
    x = 243,398.48

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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.