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Finding the Fourth Proportional to 233,446.30, 322,147.39 and 130,075.15

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Solution

The fourth proportional to 233,446.30, 322,147.39 and 130,075.15 is: 179,498.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,446.30 : 322,147.39 = 130,075.15 : x
  2. Step 2: Convert to fraction form
    233,446.30/322,147.39 = 130,075.15/x
  3. Step 3: Cross multiply
    233,446.30x = 322,147.39 × 130,075.15
  4. Step 4: Simplify right side
    233,446.30x = 41,903,369,023.30
  5. Step 5: Solve for x
    x = 41,903,369,023.30/233,446.30
  6. Step 6: Final answer
    x = 179,498.97

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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.