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Finding the Fourth Proportional to 220,533.50, 304,336.24 and 119,931.50

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Solution

The fourth proportional to 220,533.50, 304,336.24 and 119,931.50 is: 165,505.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,533.50 : 304,336.24 = 119,931.50 : x
  2. Step 2: Convert to fraction form
    220,533.50/304,336.24 = 119,931.50/x
  3. Step 3: Cross multiply
    220,533.50x = 304,336.24 × 119,931.50
  4. Step 4: Simplify right side
    220,533.50x = 36,499,501,767.56
  5. Step 5: Solve for x
    x = 36,499,501,767.56/220,533.50
  6. Step 6: Final answer
    x = 165,505.48

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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.