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Finding the Fourth Proportional to 274,214.64, 411,065.64 and 96,622.32

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Solution

The fourth proportional to 274,214.64, 411,065.64 and 96,622.32 is: 144,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,214.64 : 411,065.64 = 96,622.32 : x
  2. Step 2: Convert to fraction form
    274,214.64/411,065.64 = 96,622.32/x
  3. Step 3: Cross multiply
    274,214.64x = 411,065.64 × 96,622.32
  4. Step 4: Simplify right side
    274,214.64x = 39,718,115,809.08
  5. Step 5: Solve for x
    x = 39,718,115,809.08/274,214.64
  6. Step 6: Final answer
    x = 144,843.16

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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.