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Finding the Fourth Proportional to 211,306.62, 316,963.40 and 59,507.34

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Solution

The fourth proportional to 211,306.62, 316,963.40 and 59,507.34 is: 89,261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,306.62 : 316,963.40 = 59,507.34 : x
  2. Step 2: Convert to fraction form
    211,306.62/316,963.40 = 59,507.34/x
  3. Step 3: Cross multiply
    211,306.62x = 316,963.40 × 59,507.34
  4. Step 4: Simplify right side
    211,306.62x = 18,861,648,811.36
  5. Step 5: Solve for x
    x = 18,861,648,811.36/211,306.62
  6. Step 6: Final answer
    x = 89,261.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.