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Finding the Fourth Proportional to 357,083.10, 492,758.16 and 195,934.14

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Solution

The fourth proportional to 357,083.10, 492,758.16 and 195,934.14 is: 270,380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,083.10 : 492,758.16 = 195,934.14 : x
  2. Step 2: Convert to fraction form
    357,083.10/492,758.16 = 195,934.14/x
  3. Step 3: Cross multiply
    357,083.10x = 492,758.16 × 195,934.14
  4. Step 4: Simplify right side
    357,083.10x = 96,548,146,307.58
  5. Step 5: Solve for x
    x = 96,548,146,307.58/357,083.10
  6. Step 6: Final answer
    x = 270,380.05

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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.