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Finding the Fourth Proportional to 164,957.76, 227,638.80 and 100,403.64

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Solution

The fourth proportional to 164,957.76, 227,638.80 and 100,403.64 is: 138,555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,957.76 : 227,638.80 = 100,403.64 : x
  2. Step 2: Convert to fraction form
    164,957.76/227,638.80 = 100,403.64/x
  3. Step 3: Cross multiply
    164,957.76x = 227,638.80 × 100,403.64
  4. Step 4: Simplify right side
    164,957.76x = 22,855,764,125.23
  5. Step 5: Solve for x
    x = 22,855,764,125.23/164,957.76
  6. Step 6: Final answer
    x = 138,555.25

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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.