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Finding the Fourth Proportional to 357,054.65, 492,767.36 and 195,941.10

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Solution

The fourth proportional to 357,054.65, 492,767.36 and 195,941.10 is: 270,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,054.65 : 492,767.36 = 195,941.10 : x
  2. Step 2: Convert to fraction form
    357,054.65/492,767.36 = 195,941.10/x
  3. Step 3: Cross multiply
    357,054.65x = 492,767.36 × 195,941.10
  4. Step 4: Simplify right side
    357,054.65x = 96,553,378,562.50
  5. Step 5: Solve for x
    x = 96,553,378,562.50/357,054.65
  6. Step 6: Final answer
    x = 270,416.25

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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.