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Finding the Fourth Proportional to 274,068.30, 410,830.29 and 131,884.14

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Solution

The fourth proportional to 274,068.30, 410,830.29 and 131,884.14 is: 197,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,068.30 : 410,830.29 = 131,884.14 : x
  2. Step 2: Convert to fraction form
    274,068.30/410,830.29 = 131,884.14/x
  3. Step 3: Cross multiply
    274,068.30x = 410,830.29 × 131,884.14
  4. Step 4: Simplify right side
    274,068.30x = 54,181,999,482.60
  5. Step 5: Solve for x
    x = 54,181,999,482.60/274,068.30
  6. Step 6: Final answer
    x = 197,695.24

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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.