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Finding the Fourth Proportional to 257,042.80, 385,564.20 and 180,935.20

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Solution

The fourth proportional to 257,042.80, 385,564.20 and 180,935.20 is: 271,402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,042.80 : 385,564.20 = 180,935.20 : x
  2. Step 2: Convert to fraction form
    257,042.80/385,564.20 = 180,935.20/x
  3. Step 3: Cross multiply
    257,042.80x = 385,564.20 × 180,935.20
  4. Step 4: Simplify right side
    257,042.80x = 69,762,135,639.84
  5. Step 5: Solve for x
    x = 69,762,135,639.84/257,042.80
  6. Step 6: Final answer
    x = 271,402.80

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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.