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Finding the Fourth Proportional to 174,743.70, 262,115.55 and 171,827.70

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Solution

The fourth proportional to 174,743.70, 262,115.55 and 171,827.70 is: 257,741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,743.70 : 262,115.55 = 171,827.70 : x
  2. Step 2: Convert to fraction form
    174,743.70/262,115.55 = 171,827.70/x
  3. Step 3: Cross multiply
    174,743.70x = 262,115.55 × 171,827.70
  4. Step 4: Simplify right side
    174,743.70x = 45,038,712,090.74
  5. Step 5: Solve for x
    x = 45,038,712,090.74/174,743.70
  6. Step 6: Final answer
    x = 257,741.55

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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.