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Finding the Fourth Proportional to 170,664, 255,986.41 and 52,335.01

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Solution

The fourth proportional to 170,664, 255,986.41 and 52,335.01 is: 78,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,664 : 255,986.41 = 52,335.01 : x
  2. Step 2: Convert to fraction form
    170,664/255,986.41 = 52,335.01/x
  3. Step 3: Cross multiply
    170,664x = 255,986.41 × 52,335.01
  4. Step 4: Simplify right side
    170,664x = 13,397,051,327.21
  5. Step 5: Solve for x
    x = 13,397,051,327.21/170,664
  6. Step 6: Final answer
    x = 78,499.57

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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.