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Finding the Fourth Proportional to 164,104.78, 226,417.36 and 106,828.40

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Solution

The fourth proportional to 164,104.78, 226,417.36 and 106,828.40 is: 147,392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,104.78 : 226,417.36 = 106,828.40 : x
  2. Step 2: Convert to fraction form
    164,104.78/226,417.36 = 106,828.40/x
  3. Step 3: Cross multiply
    164,104.78x = 226,417.36 × 106,828.40
  4. Step 4: Simplify right side
    164,104.78x = 24,187,803,467.91
  5. Step 5: Solve for x
    x = 24,187,803,467.91/164,104.78
  6. Step 6: Final answer
    x = 147,392.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.