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Finding the Fourth Proportional to 262,271.84, 393,206.16 and 135,776.48

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Solution

The fourth proportional to 262,271.84, 393,206.16 and 135,776.48 is: 203,560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,271.84 : 393,206.16 = 135,776.48 : x
  2. Step 2: Convert to fraction form
    262,271.84/393,206.16 = 135,776.48/x
  3. Step 3: Cross multiply
    262,271.84x = 393,206.16 × 135,776.48
  4. Step 4: Simplify right side
    262,271.84x = 53,388,148,319.12
  5. Step 5: Solve for x
    x = 53,388,148,319.12/262,271.84
  6. Step 6: Final answer
    x = 203,560.35

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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.