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Finding the Fourth Proportional to 164,508.56, 227,023.40 and 96,526.72

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Solution

The fourth proportional to 164,508.56, 227,023.40 and 96,526.72 is: 133,207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,508.56 : 227,023.40 = 96,526.72 : x
  2. Step 2: Convert to fraction form
    164,508.56/227,023.40 = 96,526.72/x
  3. Step 3: Cross multiply
    164,508.56x = 227,023.40 × 96,526.72
  4. Step 4: Simplify right side
    164,508.56x = 21,913,824,165.25
  5. Step 5: Solve for x
    x = 21,913,824,165.25/164,508.56
  6. Step 6: Final answer
    x = 133,207.80

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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.