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Finding the Fourth Proportional to 169,784, 254,676 and 53,048

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Solution

The fourth proportional to 169,784, 254,676 and 53,048 is: 79,572

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,784 : 254,676 = 53,048 : x
  2. Step 2: Convert to fraction form
    169,784/254,676 = 53,048/x
  3. Step 3: Cross multiply
    169,784x = 254,676 × 53,048
  4. Step 4: Simplify right side
    169,784x = 13,510,052,448
  5. Step 5: Solve for x
    x = 13,510,052,448/169,784
  6. Step 6: Final answer
    x = 79,572

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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.