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Finding the Fourth Proportional to 357,170.73, 492,925.86 and 196,053.06

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Solution

The fourth proportional to 357,170.73, 492,925.86 and 196,053.06 is: 270,569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,170.73 : 492,925.86 = 196,053.06 : x
  2. Step 2: Convert to fraction form
    357,170.73/492,925.86 = 196,053.06/x
  3. Step 3: Cross multiply
    357,170.73x = 492,925.86 × 196,053.06
  4. Step 4: Simplify right side
    357,170.73x = 96,639,623,206.13
  5. Step 5: Solve for x
    x = 96,639,623,206.13/357,170.73
  6. Step 6: Final answer
    x = 270,569.83

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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.