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Finding the Fourth Proportional to 274,150.40, 411,225.60 and 96,598.40

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Solution

The fourth proportional to 274,150.40, 411,225.60 and 96,598.40 is: 144,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,150.40 : 411,225.60 = 96,598.40 : x
  2. Step 2: Convert to fraction form
    274,150.40/411,225.60 = 96,598.40/x
  3. Step 3: Cross multiply
    274,150.40x = 411,225.60 × 96,598.40
  4. Step 4: Simplify right side
    274,150.40x = 39,723,734,999.04
  5. Step 5: Solve for x
    x = 39,723,734,999.04/274,150.40
  6. Step 6: Final answer
    x = 144,897.60

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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.