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Finding the Fourth Proportional to 357,104.97, 492,804.59 and 204,146.55

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Solution

The fourth proportional to 357,104.97, 492,804.59 and 204,146.55 is: 281,722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,104.97 : 492,804.59 = 204,146.55 : x
  2. Step 2: Convert to fraction form
    357,104.97/492,804.59 = 204,146.55/x
  3. Step 3: Cross multiply
    357,104.97x = 492,804.59 × 204,146.55
  4. Step 4: Simplify right side
    357,104.97x = 100,604,355,851.93
  5. Step 5: Solve for x
    x = 100,604,355,851.93/357,104.97
  6. Step 6: Final answer
    x = 281,722.08

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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.