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Finding the Fourth Proportional to 357,159.51, 492,879.72 and 196,014.96

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Solution

The fourth proportional to 357,159.51, 492,879.72 and 196,014.96 is: 270,500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,159.51 : 492,879.72 = 196,014.96 : x
  2. Step 2: Convert to fraction form
    357,159.51/492,879.72 = 196,014.96/x
  3. Step 3: Cross multiply
    357,159.51x = 492,879.72 × 196,014.96
  4. Step 4: Simplify right side
    357,159.51x = 96,611,798,600.61
  5. Step 5: Solve for x
    x = 96,611,798,600.61/357,159.51
  6. Step 6: Final answer
    x = 270,500.42

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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.