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Finding the Fourth Proportional to 175,935.96, 264,269.48 and 142,240.02

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Solution

The fourth proportional to 175,935.96, 264,269.48 and 142,240.02 is: 213,655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,935.96 : 264,269.48 = 142,240.02 : x
  2. Step 2: Convert to fraction form
    175,935.96/264,269.48 = 142,240.02/x
  3. Step 3: Cross multiply
    175,935.96x = 264,269.48 × 142,240.02
  4. Step 4: Simplify right side
    175,935.96x = 37,589,696,120.59
  5. Step 5: Solve for x
    x = 37,589,696,120.59/175,935.96
  6. Step 6: Final answer
    x = 213,655.56

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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.