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Finding the Fourth Proportional to 171,686.10, 257,568.30 and 53,369.40

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Solution

The fourth proportional to 171,686.10, 257,568.30 and 53,369.40 is: 80,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,686.10 : 257,568.30 = 53,369.40 : x
  2. Step 2: Convert to fraction form
    171,686.10/257,568.30 = 53,369.40/x
  3. Step 3: Cross multiply
    171,686.10x = 257,568.30 × 53,369.40
  4. Step 4: Simplify right side
    171,686.10x = 13,746,265,630.02
  5. Step 5: Solve for x
    x = 13,746,265,630.02/171,686.10
  6. Step 6: Final answer
    x = 80,066.27

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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.