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Finding the Fourth Proportional to 233,734.64, 322,709.40 and 138,271.92

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Solution

The fourth proportional to 233,734.64, 322,709.40 and 138,271.92 is: 190,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,734.64 : 322,709.40 = 138,271.92 : x
  2. Step 2: Convert to fraction form
    233,734.64/322,709.40 = 138,271.92/x
  3. Step 3: Cross multiply
    233,734.64x = 322,709.40 × 138,271.92
  4. Step 4: Simplify right side
    233,734.64x = 44,621,648,340.05
  5. Step 5: Solve for x
    x = 44,621,648,340.05/233,734.64
  6. Step 6: Final answer
    x = 190,907.30

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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.