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Finding the Fourth Proportional to 135,304.67, 202,957.87 and 35,464.00

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Solution

The fourth proportional to 135,304.67, 202,957.87 and 35,464.00 is: 53,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,304.67 : 202,957.87 = 35,464.00 : x
  2. Step 2: Convert to fraction form
    135,304.67/202,957.87 = 35,464.00/x
  3. Step 3: Cross multiply
    135,304.67x = 202,957.87 × 35,464.00
  4. Step 4: Simplify right side
    135,304.67x = 7,197,697,756.12
  5. Step 5: Solve for x
    x = 7,197,697,756.12/135,304.67
  6. Step 6: Final answer
    x = 53,196.23

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Why These Related Problems?

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