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Finding the Fourth Proportional to 292,419.14, 403,530.09 and 165,106.58

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Solution

The fourth proportional to 292,419.14, 403,530.09 and 165,106.58 is: 227,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,419.14 : 403,530.09 = 165,106.58 : x
  2. Step 2: Convert to fraction form
    292,419.14/403,530.09 = 165,106.58/x
  3. Step 3: Cross multiply
    292,419.14x = 403,530.09 × 165,106.58
  4. Step 4: Simplify right side
    292,419.14x = 66,625,473,086.99
  5. Step 5: Solve for x
    x = 66,625,473,086.99/292,419.14
  6. Step 6: Final answer
    x = 227,842.38

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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.