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Finding the Fourth Proportional to 357,097.95, 492,771.06 and 195,963.32

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Solution

The fourth proportional to 357,097.95, 492,771.06 and 195,963.32 is: 270,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,097.95 : 492,771.06 = 195,963.32 : x
  2. Step 2: Convert to fraction form
    357,097.95/492,771.06 = 195,963.32/x
  3. Step 3: Cross multiply
    357,097.95x = 492,771.06 × 195,963.32
  4. Step 4: Simplify right side
    357,097.95x = 96,565,054,149.45
  5. Step 5: Solve for x
    x = 96,565,054,149.45/357,097.95
  6. Step 6: Final answer
    x = 270,416.15

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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.