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Finding the Fourth Proportional to 174,741.80, 262,307.10 and 96,009.80

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Solution

The fourth proportional to 174,741.80, 262,307.10 and 96,009.80 is: 144,121.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,741.80 : 262,307.10 = 96,009.80 : x
  2. Step 2: Convert to fraction form
    174,741.80/262,307.10 = 96,009.80/x
  3. Step 3: Cross multiply
    174,741.80x = 262,307.10 × 96,009.80
  4. Step 4: Simplify right side
    174,741.80x = 25,184,052,209.58
  5. Step 5: Solve for x
    x = 25,184,052,209.58/174,741.80
  6. Step 6: Final answer
    x = 144,121.51

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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.