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Finding the Fourth Proportional to 207,123.84, 285,814.80 and 116,462.88

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Solution

The fourth proportional to 207,123.84, 285,814.80 and 116,462.88 is: 160,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,123.84 : 285,814.80 = 116,462.88 : x
  2. Step 2: Convert to fraction form
    207,123.84/285,814.80 = 116,462.88/x
  3. Step 3: Cross multiply
    207,123.84x = 285,814.80 × 116,462.88
  4. Step 4: Simplify right side
    207,123.84x = 33,286,814,754.62
  5. Step 5: Solve for x
    x = 33,286,814,754.62/207,123.84
  6. Step 6: Final answer
    x = 160,709.72

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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.