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Finding the Fourth Proportional to 282,414, 423,796.08 and 164,141.04

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Solution

The fourth proportional to 282,414, 423,796.08 and 164,141.04 is: 246,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,414 : 423,796.08 = 164,141.04 : x
  2. Step 2: Convert to fraction form
    282,414/423,796.08 = 164,141.04/x
  3. Step 3: Cross multiply
    282,414x = 423,796.08 × 164,141.04
  4. Step 4: Simplify right side
    282,414x = 69,562,329,319.12
  5. Step 5: Solve for x
    x = 69,562,329,319.12/282,414
  6. Step 6: Final answer
    x = 246,313.32

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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.