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Finding the Fourth Proportional to 171,943.45, 257,423.10 and 152,260.45

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Solution

The fourth proportional to 171,943.45, 257,423.10 and 152,260.45 is: 227,954.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,943.45 : 257,423.10 = 152,260.45 : x
  2. Step 2: Convert to fraction form
    171,943.45/257,423.10 = 152,260.45/x
  3. Step 3: Cross multiply
    171,943.45x = 257,423.10 × 152,260.45
  4. Step 4: Simplify right side
    171,943.45x = 39,195,357,046.40
  5. Step 5: Solve for x
    x = 39,195,357,046.40/171,943.45
  6. Step 6: Final answer
    x = 227,954.93

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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.