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Finding the Fourth Proportional to 171,702.40, 257,035.20 and 150,966.40

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Solution

The fourth proportional to 171,702.40, 257,035.20 and 150,966.40 is: 225,993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,702.40 : 257,035.20 = 150,966.40 : x
  2. Step 2: Convert to fraction form
    171,702.40/257,035.20 = 150,966.40/x
  3. Step 3: Cross multiply
    171,702.40x = 257,035.20 × 150,966.40
  4. Step 4: Simplify right side
    171,702.40x = 38,803,678,817.28
  5. Step 5: Solve for x
    x = 38,803,678,817.28/171,702.40
  6. Step 6: Final answer
    x = 225,993.81

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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.