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Finding the Fourth Proportional to 312,852.63, 469,323.59 and 96,729.96

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Solution

The fourth proportional to 312,852.63, 469,323.59 and 96,729.96 is: 145,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,852.63 : 469,323.59 = 96,729.96 : x
  2. Step 2: Convert to fraction form
    312,852.63/469,323.59 = 96,729.96/x
  3. Step 3: Cross multiply
    312,852.63x = 469,323.59 × 96,729.96
  4. Step 4: Simplify right side
    312,852.63x = 45,397,652,087.76
  5. Step 5: Solve for x
    x = 45,397,652,087.76/312,852.63
  6. Step 6: Final answer
    x = 145,108.74

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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.