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Finding the Fourth Proportional to 422,242.14, 633,394.04 and 118,681.08

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Solution

The fourth proportional to 422,242.14, 633,394.04 and 118,681.08 is: 178,030.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,242.14 : 633,394.04 = 118,681.08 : x
  2. Step 2: Convert to fraction form
    422,242.14/633,394.04 = 118,681.08/x
  3. Step 3: Cross multiply
    422,242.14x = 633,394.04 × 118,681.08
  4. Step 4: Simplify right side
    422,242.14x = 75,171,888,732.76
  5. Step 5: Solve for x
    x = 75,171,888,732.76/422,242.14
  6. Step 6: Final answer
    x = 178,030.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.