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Finding the Fourth Proportional to 292,168.64, 403,211.16 and 164,797.76

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Solution

The fourth proportional to 292,168.64, 403,211.16 and 164,797.76 is: 227,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,168.64 : 403,211.16 = 164,797.76 : x
  2. Step 2: Convert to fraction form
    292,168.64/403,211.16 = 164,797.76/x
  3. Step 3: Cross multiply
    292,168.64x = 403,211.16 × 164,797.76
  4. Step 4: Simplify right side
    292,168.64x = 66,448,295,975.00
  5. Step 5: Solve for x
    x = 66,448,295,975.00/292,168.64
  6. Step 6: Final answer
    x = 227,431.31

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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.