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Finding the Fourth Proportional to 223,221.32, 308,050.86 and 127,758.78

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Solution

The fourth proportional to 223,221.32, 308,050.86 and 127,758.78 is: 176,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,221.32 : 308,050.86 = 127,758.78 : x
  2. Step 2: Convert to fraction form
    223,221.32/308,050.86 = 127,758.78/x
  3. Step 3: Cross multiply
    223,221.32x = 308,050.86 × 127,758.78
  4. Step 4: Simplify right side
    223,221.32x = 39,356,202,051.55
  5. Step 5: Solve for x
    x = 39,356,202,051.55/223,221.32
  6. Step 6: Final answer
    x = 176,310.23

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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.