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Finding the Fourth Proportional to 232,020.84, 320,192.54 and 130,068.98

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Solution

The fourth proportional to 232,020.84, 320,192.54 and 130,068.98 is: 179,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,020.84 : 320,192.54 = 130,068.98 : x
  2. Step 2: Convert to fraction form
    232,020.84/320,192.54 = 130,068.98/x
  3. Step 3: Cross multiply
    232,020.84x = 320,192.54 × 130,068.98
  4. Step 4: Simplify right side
    232,020.84x = 41,647,114,830.10
  5. Step 5: Solve for x
    x = 41,647,114,830.10/232,020.84
  6. Step 6: Final answer
    x = 179,497.30

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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.