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Finding the Fourth Proportional to 170,465.88, 255,657.80 and 52,138.24

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Solution

The fourth proportional to 170,465.88, 255,657.80 and 52,138.24 is: 78,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,465.88 : 255,657.80 = 52,138.24 : x
  2. Step 2: Convert to fraction form
    170,465.88/255,657.80 = 52,138.24/x
  3. Step 3: Cross multiply
    170,465.88x = 255,657.80 × 52,138.24
  4. Step 4: Simplify right side
    170,465.88x = 13,329,547,734.27
  5. Step 5: Solve for x
    x = 13,329,547,734.27/170,465.88
  6. Step 6: Final answer
    x = 78,194.81

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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.