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Finding the Fourth Proportional to 357,103.53, 492,802.56 and 195,968.70

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Solution

The fourth proportional to 357,103.53, 492,802.56 and 195,968.70 is: 270,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,103.53 : 492,802.56 = 195,968.70 : x
  2. Step 2: Convert to fraction form
    357,103.53/492,802.56 = 195,968.70/x
  3. Step 3: Cross multiply
    357,103.53x = 492,802.56 × 195,968.70
  4. Step 4: Simplify right side
    357,103.53x = 96,573,877,039.87
  5. Step 5: Solve for x
    x = 96,573,877,039.87/357,103.53
  6. Step 6: Final answer
    x = 270,436.64

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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.