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Finding the Fourth Proportional to 174,006.96, 260,954.28 and 49,314.48

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Solution

The fourth proportional to 174,006.96, 260,954.28 and 49,314.48 is: 73,955.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,006.96 : 260,954.28 = 49,314.48 : x
  2. Step 2: Convert to fraction form
    174,006.96/260,954.28 = 49,314.48/x
  3. Step 3: Cross multiply
    174,006.96x = 260,954.28 × 49,314.48
  4. Step 4: Simplify right side
    174,006.96x = 12,868,824,621.97
  5. Step 5: Solve for x
    x = 12,868,824,621.97/174,006.96
  6. Step 6: Final answer
    x = 73,955.80

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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.