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Finding the Fourth Proportional to 171,614.40, 257,421.60 and 53,297.70

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Solution

The fourth proportional to 171,614.40, 257,421.60 and 53,297.70 is: 79,946.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,614.40 : 257,421.60 = 53,297.70 : x
  2. Step 2: Convert to fraction form
    171,614.40/257,421.60 = 53,297.70/x
  3. Step 3: Cross multiply
    171,614.40x = 257,421.60 × 53,297.70
  4. Step 4: Simplify right side
    171,614.40x = 13,719,979,210.32
  5. Step 5: Solve for x
    x = 13,719,979,210.32/171,614.40
  6. Step 6: Final answer
    x = 79,946.55

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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.