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Finding the Fourth Proportional to 223,953.78, 309,059.58 and 121,983.96

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Solution

The fourth proportional to 223,953.78, 309,059.58 and 121,983.96 is: 168,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,953.78 : 309,059.58 = 121,983.96 : x
  2. Step 2: Convert to fraction form
    223,953.78/309,059.58 = 121,983.96/x
  3. Step 3: Cross multiply
    223,953.78x = 309,059.58 × 121,983.96
  4. Step 4: Simplify right side
    223,953.78x = 37,700,311,444.34
  5. Step 5: Solve for x
    x = 37,700,311,444.34/223,953.78
  6. Step 6: Final answer
    x = 168,339.70

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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.