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Finding the Fourth Proportional to 274,142.80, 411,036.60 and 116,328.40

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Solution

The fourth proportional to 274,142.80, 411,036.60 and 116,328.40 is: 174,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,142.80 : 411,036.60 = 116,328.40 : x
  2. Step 2: Convert to fraction form
    274,142.80/411,036.60 = 116,328.40/x
  3. Step 3: Cross multiply
    274,142.80x = 411,036.60 × 116,328.40
  4. Step 4: Simplify right side
    274,142.80x = 47,815,230,019.44
  5. Step 5: Solve for x
    x = 47,815,230,019.44/274,142.80
  6. Step 6: Final answer
    x = 174,417.24

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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.