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Finding the Fourth Proportional to 158,450, 237,712.24 and 46,132.64

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Solution

The fourth proportional to 158,450, 237,712.24 and 46,132.64 is: 69,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,450 : 237,712.24 = 46,132.64 : x
  2. Step 2: Convert to fraction form
    158,450/237,712.24 = 46,132.64/x
  3. Step 3: Cross multiply
    158,450x = 237,712.24 × 46,132.64
  4. Step 4: Simplify right side
    158,450x = 10,966,293,191.51
  5. Step 5: Solve for x
    x = 10,966,293,191.51/158,450
  6. Step 6: Final answer
    x = 69,209.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.