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Finding the Fourth Proportional to 357,098.51, 492,795.66 and 195,963.69

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Solution

The fourth proportional to 357,098.51, 492,795.66 and 195,963.69 is: 270,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,098.51 : 492,795.66 = 195,963.69 : x
  2. Step 2: Convert to fraction form
    357,098.51/492,795.66 = 195,963.69/x
  3. Step 3: Cross multiply
    357,098.51x = 492,795.66 × 195,963.69
  4. Step 4: Simplify right side
    357,098.51x = 96,570,055,949.59
  5. Step 5: Solve for x
    x = 96,570,055,949.59/357,098.51
  6. Step 6: Final answer
    x = 270,429.74

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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.