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Finding the Fourth Proportional to 180,394, 270,588.16 and 62,066.36

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Solution

The fourth proportional to 180,394, 270,588.16 and 62,066.36 is: 93,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,394 : 270,588.16 = 62,066.36 : x
  2. Step 2: Convert to fraction form
    180,394/270,588.16 = 62,066.36/x
  3. Step 3: Cross multiply
    180,394x = 270,588.16 × 62,066.36
  4. Step 4: Simplify right side
    180,394x = 16,794,422,150.30
  5. Step 5: Solve for x
    x = 16,794,422,150.30/180,394
  6. Step 6: Final answer
    x = 93,098.56

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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.