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Finding the Fourth Proportional to 354,798.41, 531,735.55 and 144,190.13

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Solution

The fourth proportional to 354,798.41, 531,735.55 and 144,190.13 is: 216,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,798.41 : 531,735.55 = 144,190.13 : x
  2. Step 2: Convert to fraction form
    354,798.41/531,735.55 = 144,190.13/x
  3. Step 3: Cross multiply
    354,798.41x = 531,735.55 × 144,190.13
  4. Step 4: Simplify right side
    354,798.41x = 76,671,015,060.97
  5. Step 5: Solve for x
    x = 76,671,015,060.97/354,798.41
  6. Step 6: Final answer
    x = 216,097.41

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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.