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Finding the Fourth Proportional to 251,933.32, 347,713.28 and 144,538.89

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Solution

The fourth proportional to 251,933.32, 347,713.28 and 144,538.89 is: 199,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,933.32 : 347,713.28 = 144,538.89 : x
  2. Step 2: Convert to fraction form
    251,933.32/347,713.28 = 144,538.89/x
  3. Step 3: Cross multiply
    251,933.32x = 347,713.28 × 144,538.89
  4. Step 4: Simplify right side
    251,933.32x = 50,258,091,529.46
  5. Step 5: Solve for x
    x = 50,258,091,529.46/251,933.32
  6. Step 6: Final answer
    x = 199,489.66

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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.