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Finding the Fourth Proportional to 295,132.96, 407,282.64 and 160,996

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Solution

The fourth proportional to 295,132.96, 407,282.64 and 160,996 is: 222,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,132.96 : 407,282.64 = 160,996 : x
  2. Step 2: Convert to fraction form
    295,132.96/407,282.64 = 160,996/x
  3. Step 3: Cross multiply
    295,132.96x = 407,282.64 × 160,996
  4. Step 4: Simplify right side
    295,132.96x = 65,570,875,909.44
  5. Step 5: Solve for x
    x = 65,570,875,909.44/295,132.96
  6. Step 6: Final answer
    x = 222,174.02

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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.