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Finding the Fourth Proportional to 232,048.98, 320,207.72 and 128,686.50

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Solution

The fourth proportional to 232,048.98, 320,207.72 and 128,686.50 is: 177,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,048.98 : 320,207.72 = 128,686.50 : x
  2. Step 2: Convert to fraction form
    232,048.98/320,207.72 = 128,686.50/x
  3. Step 3: Cross multiply
    232,048.98x = 320,207.72 × 128,686.50
  4. Step 4: Simplify right side
    232,048.98x = 41,206,410,116.35
  5. Step 5: Solve for x
    x = 41,206,410,116.35/232,048.98
  6. Step 6: Final answer
    x = 177,576.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.