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Finding the Fourth Proportional to 164,395, 226,865.10 and 88,943.50

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Solution

The fourth proportional to 164,395, 226,865.10 and 88,943.50 is: 122,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,395 : 226,865.10 = 88,943.50 : x
  2. Step 2: Convert to fraction form
    164,395/226,865.10 = 88,943.50/x
  3. Step 3: Cross multiply
    164,395x = 226,865.10 × 88,943.50
  4. Step 4: Simplify right side
    164,395x = 20,178,176,021.85
  5. Step 5: Solve for x
    x = 20,178,176,021.85/164,395
  6. Step 6: Final answer
    x = 122,742.03

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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.