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Finding the Fourth Proportional to 295,120.64, 407,225.40 and 167,782.16

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Solution

The fourth proportional to 295,120.64, 407,225.40 and 167,782.16 is: 231,516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,120.64 : 407,225.40 = 167,782.16 : x
  2. Step 2: Convert to fraction form
    295,120.64/407,225.40 = 167,782.16/x
  3. Step 3: Cross multiply
    295,120.64x = 407,225.40 × 167,782.16
  4. Step 4: Simplify right side
    295,120.64x = 68,325,157,218.86
  5. Step 5: Solve for x
    x = 68,325,157,218.86/295,120.64
  6. Step 6: Final answer
    x = 231,516.02

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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.