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Finding the Fourth Proportional to 164,357.34, 226,816.68 and 90,769.55

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Solution

The fourth proportional to 164,357.34, 226,816.68 and 90,769.55 is: 125,263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,357.34 : 226,816.68 = 90,769.55 : x
  2. Step 2: Convert to fraction form
    164,357.34/226,816.68 = 90,769.55/x
  3. Step 3: Cross multiply
    164,357.34x = 226,816.68 × 90,769.55
  4. Step 4: Simplify right side
    164,357.34x = 20,588,046,388.16
  5. Step 5: Solve for x
    x = 20,588,046,388.16/164,357.34
  6. Step 6: Final answer
    x = 125,263.93

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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.