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Finding the Fourth Proportional to 232,118.57, 348,177.86 and 153,214.34

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Solution

The fourth proportional to 232,118.57, 348,177.86 and 153,214.34 is: 229,821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,118.57 : 348,177.86 = 153,214.34 : x
  2. Step 2: Convert to fraction form
    232,118.57/348,177.86 = 153,214.34/x
  3. Step 3: Cross multiply
    232,118.57x = 348,177.86 × 153,214.34
  4. Step 4: Simplify right side
    232,118.57x = 53,345,841,022.51
  5. Step 5: Solve for x
    x = 53,345,841,022.51/232,118.57
  6. Step 6: Final answer
    x = 229,821.51

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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.