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Finding the Fourth Proportional to 223,216.32, 308,043.96 and 127,753.77

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Solution

The fourth proportional to 223,216.32, 308,043.96 and 127,753.77 is: 176,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,216.32 : 308,043.96 = 127,753.77 : x
  2. Step 2: Convert to fraction form
    223,216.32/308,043.96 = 127,753.77/x
  3. Step 3: Cross multiply
    223,216.32x = 308,043.96 × 127,753.77
  4. Step 4: Simplify right side
    223,216.32x = 39,353,777,215.73
  5. Step 5: Solve for x
    x = 39,353,777,215.73/223,216.32
  6. Step 6: Final answer
    x = 176,303.32

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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.