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Finding the Fourth Proportional to 210,907.46, 291,052.31 and 115,414.16

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Solution

The fourth proportional to 210,907.46, 291,052.31 and 115,414.16 is: 159,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,907.46 : 291,052.31 = 115,414.16 : x
  2. Step 2: Convert to fraction form
    210,907.46/291,052.31 = 115,414.16/x
  3. Step 3: Cross multiply
    210,907.46x = 291,052.31 × 115,414.16
  4. Step 4: Simplify right side
    210,907.46x = 33,591,557,874.71
  5. Step 5: Solve for x
    x = 33,591,557,874.71/210,907.46
  6. Step 6: Final answer
    x = 159,271.55

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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.