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Finding the Fourth Proportional to 241,106.40, 332,659.32 and 140,484.96

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Solution

The fourth proportional to 241,106.40, 332,659.32 and 140,484.96 is: 193,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,106.40 : 332,659.32 = 140,484.96 : x
  2. Step 2: Convert to fraction form
    241,106.40/332,659.32 = 140,484.96/x
  3. Step 3: Cross multiply
    241,106.40x = 332,659.32 × 140,484.96
  4. Step 4: Simplify right side
    241,106.40x = 46,733,631,263.83
  5. Step 5: Solve for x
    x = 46,733,631,263.83/241,106.40
  6. Step 6: Final answer
    x = 193,829.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.