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Finding the Fourth Proportional to 214,059.76, 295,323.16 and 138,649.84

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Solution

The fourth proportional to 214,059.76, 295,323.16 and 138,649.84 is: 191,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,059.76 : 295,323.16 = 138,649.84 : x
  2. Step 2: Convert to fraction form
    214,059.76/295,323.16 = 138,649.84/x
  3. Step 3: Cross multiply
    214,059.76x = 295,323.16 × 138,649.84
  4. Step 4: Simplify right side
    214,059.76x = 40,946,508,882.29
  5. Step 5: Solve for x
    x = 40,946,508,882.29/214,059.76
  6. Step 6: Final answer
    x = 191,285.41

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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.