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Finding the Fourth Proportional to 292,054.12, 403,000.86 and 164,731.84

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Solution

The fourth proportional to 292,054.12, 403,000.86 and 164,731.84 is: 227,310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,054.12 : 403,000.86 = 164,731.84 : x
  2. Step 2: Convert to fraction form
    292,054.12/403,000.86 = 164,731.84/x
  3. Step 3: Cross multiply
    292,054.12x = 403,000.86 × 164,731.84
  4. Step 4: Simplify right side
    292,054.12x = 66,387,073,189.38
  5. Step 5: Solve for x
    x = 66,387,073,189.38/292,054.12
  6. Step 6: Final answer
    x = 227,310.86

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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.