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Finding the Fourth Proportional to 384,095.80, 576,143.70 and 134,745.40

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Solution

The fourth proportional to 384,095.80, 576,143.70 and 134,745.40 is: 202,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,095.80 : 576,143.70 = 134,745.40 : x
  2. Step 2: Convert to fraction form
    384,095.80/576,143.70 = 134,745.40/x
  3. Step 3: Cross multiply
    384,095.80x = 576,143.70 × 134,745.40
  4. Step 4: Simplify right side
    384,095.80x = 77,632,713,313.98
  5. Step 5: Solve for x
    x = 77,632,713,313.98/384,095.80
  6. Step 6: Final answer
    x = 202,118.10

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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.