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Finding the Fourth Proportional to 292,758.34, 403,984.25 and 178,021.14

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Solution

The fourth proportional to 292,758.34, 403,984.25 and 178,021.14 is: 245,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,758.34 : 403,984.25 = 178,021.14 : x
  2. Step 2: Convert to fraction form
    292,758.34/403,984.25 = 178,021.14/x
  3. Step 3: Cross multiply
    292,758.34x = 403,984.25 × 178,021.14
  4. Step 4: Simplify right side
    292,758.34x = 71,917,737,172.10
  5. Step 5: Solve for x
    x = 71,917,737,172.10/292,758.34
  6. Step 6: Final answer
    x = 245,655.64

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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.