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Finding the Fourth Proportional to 171,495.60, 257,389.20 and 76,871.40

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Solution

The fourth proportional to 171,495.60, 257,389.20 and 76,871.40 is: 115,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,495.60 : 257,389.20 = 76,871.40 : x
  2. Step 2: Convert to fraction form
    171,495.60/257,389.20 = 76,871.40/x
  3. Step 3: Cross multiply
    171,495.60x = 257,389.20 × 76,871.40
  4. Step 4: Simplify right side
    171,495.60x = 19,785,868,148.88
  5. Step 5: Solve for x
    x = 19,785,868,148.88/171,495.60
  6. Step 6: Final answer
    x = 115,372.45

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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.