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Finding the Fourth Proportional to 164,025.80, 226,489.74 and 103,693.76

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Solution

The fourth proportional to 164,025.80, 226,489.74 and 103,693.76 is: 143,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,025.80 : 226,489.74 = 103,693.76 : x
  2. Step 2: Convert to fraction form
    164,025.80/226,489.74 = 103,693.76/x
  3. Step 3: Cross multiply
    164,025.80x = 226,489.74 × 103,693.76
  4. Step 4: Simplify right side
    164,025.80x = 23,485,572,742.02
  5. Step 5: Solve for x
    x = 23,485,572,742.02/164,025.80
  6. Step 6: Final answer
    x = 143,182.19

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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.