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Finding the Fourth Proportional to 302,090.31, 416,852.33 and 174,742.11

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Solution

The fourth proportional to 302,090.31, 416,852.33 and 174,742.11 is: 241,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,090.31 : 416,852.33 = 174,742.11 : x
  2. Step 2: Convert to fraction form
    302,090.31/416,852.33 = 174,742.11/x
  3. Step 3: Cross multiply
    302,090.31x = 416,852.33 × 174,742.11
  4. Step 4: Simplify right side
    302,090.31x = 72,841,654,828.91
  5. Step 5: Solve for x
    x = 72,841,654,828.91/302,090.31
  6. Step 6: Final answer
    x = 241,125.43

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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.