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Finding the Fourth Proportional to 532,083.06, 798,255.81 and 158,106.06

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Solution

The fourth proportional to 532,083.06, 798,255.81 and 158,106.06 is: 237,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,083.06 : 798,255.81 = 158,106.06 : x
  2. Step 2: Convert to fraction form
    532,083.06/798,255.81 = 158,106.06/x
  3. Step 3: Cross multiply
    532,083.06x = 798,255.81 × 158,106.06
  4. Step 4: Simplify right side
    532,083.06x = 126,209,080,991.21
  5. Step 5: Solve for x
    x = 126,209,080,991.21/532,083.06
  6. Step 6: Final answer
    x = 237,198.08

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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.