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Finding the Fourth Proportional to 137,176.45, 205,784.38 and 42,414.02

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Solution

The fourth proportional to 137,176.45, 205,784.38 and 42,414.02 is: 63,627.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,176.45 : 205,784.38 = 42,414.02 : x
  2. Step 2: Convert to fraction form
    137,176.45/205,784.38 = 42,414.02/x
  3. Step 3: Cross multiply
    137,176.45x = 205,784.38 × 42,414.02
  4. Step 4: Simplify right side
    137,176.45x = 8,728,142,809.01
  5. Step 5: Solve for x
    x = 8,728,142,809.01/137,176.45
  6. Step 6: Final answer
    x = 63,627.12

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