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Finding the Fourth Proportional to 257,186.88, 354,905.46 and 142,457.76

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Solution

The fourth proportional to 257,186.88, 354,905.46 and 142,457.76 is: 196,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,186.88 : 354,905.46 = 142,457.76 : x
  2. Step 2: Convert to fraction form
    257,186.88/354,905.46 = 142,457.76/x
  3. Step 3: Cross multiply
    257,186.88x = 354,905.46 × 142,457.76
  4. Step 4: Simplify right side
    257,186.88x = 50,559,036,843.37
  5. Step 5: Solve for x
    x = 50,559,036,843.37/257,186.88
  6. Step 6: Final answer
    x = 196,584.82

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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.