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Finding the Fourth Proportional to 170,296, 255,448.32 and 59,488

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Solution

The fourth proportional to 170,296, 255,448.32 and 59,488 is: 89,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,296 : 255,448.32 = 59,488 : x
  2. Step 2: Convert to fraction form
    170,296/255,448.32 = 59,488/x
  3. Step 3: Cross multiply
    170,296x = 255,448.32 × 59,488
  4. Step 4: Simplify right side
    170,296x = 15,196,109,660.16
  5. Step 5: Solve for x
    x = 15,196,109,660.16/170,296
  6. Step 6: Final answer
    x = 89,233.51

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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.