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Finding the Fourth Proportional to 214,141.38, 295,502.76 and 118,642.38

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Solution

The fourth proportional to 214,141.38, 295,502.76 and 118,642.38 is: 163,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,141.38 : 295,502.76 = 118,642.38 : x
  2. Step 2: Convert to fraction form
    214,141.38/295,502.76 = 118,642.38/x
  3. Step 3: Cross multiply
    214,141.38x = 295,502.76 × 118,642.38
  4. Step 4: Simplify right side
    214,141.38x = 35,059,150,742.97
  5. Step 5: Solve for x
    x = 35,059,150,742.97/214,141.38
  6. Step 6: Final answer
    x = 163,719.65

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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.