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Finding the Fourth Proportional to 137,354.78, 206,030 and 57,435.60

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Solution

The fourth proportional to 137,354.78, 206,030 and 57,435.60 is: 86,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,354.78 : 206,030 = 57,435.60 : x
  2. Step 2: Convert to fraction form
    137,354.78/206,030 = 57,435.60/x
  3. Step 3: Cross multiply
    137,354.78x = 206,030 × 57,435.60
  4. Step 4: Simplify right side
    137,354.78x = 11,833,456,668
  5. Step 5: Solve for x
    x = 11,833,456,668/137,354.78
  6. Step 6: Final answer
    x = 86,152.49

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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.