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Finding the Fourth Proportional to 164,114.01, 226,445.27 and 100,406.67

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Solution

The fourth proportional to 164,114.01, 226,445.27 and 100,406.67 is: 138,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,114.01 : 226,445.27 = 100,406.67 : x
  2. Step 2: Convert to fraction form
    164,114.01/226,445.27 = 100,406.67/x
  3. Step 3: Cross multiply
    164,114.01x = 226,445.27 × 100,406.67
  4. Step 4: Simplify right side
    164,114.01x = 22,736,614,995.92
  5. Step 5: Solve for x
    x = 22,736,614,995.92/164,114.01
  6. Step 6: Final answer
    x = 138,541.58

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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.