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Finding the Fourth Proportional to 282,612, 423,363.92 and 164,034.72

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Solution

The fourth proportional to 282,612, 423,363.92 and 164,034.72 is: 245,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,612 : 423,363.92 = 164,034.72 : x
  2. Step 2: Convert to fraction form
    282,612/423,363.92 = 164,034.72/x
  3. Step 3: Cross multiply
    282,612x = 423,363.92 × 164,034.72
  4. Step 4: Simplify right side
    282,612x = 69,446,382,075.30
  5. Step 5: Solve for x
    x = 69,446,382,075.30/282,612
  6. Step 6: Final answer
    x = 245,730.48

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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.