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Finding the Fourth Proportional to 357,103.12, 492,785.74 and 195,954.16

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Solution

The fourth proportional to 357,103.12, 492,785.74 and 195,954.16 is: 270,407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,103.12 : 492,785.74 = 195,954.16 : x
  2. Step 2: Convert to fraction form
    357,103.12/492,785.74 = 195,954.16/x
  3. Step 3: Cross multiply
    357,103.12x = 492,785.74 × 195,954.16
  4. Step 4: Simplify right side
    357,103.12x = 96,563,415,741.68
  5. Step 5: Solve for x
    x = 96,563,415,741.68/357,103.12
  6. Step 6: Final answer
    x = 270,407.65

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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.