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Finding the Fourth Proportional to 229,700.56, 316,810.14 and 203,885.80

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Solution

The fourth proportional to 229,700.56, 316,810.14 and 203,885.80 is: 281,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,700.56 : 316,810.14 = 203,885.80 : x
  2. Step 2: Convert to fraction form
    229,700.56/316,810.14 = 203,885.80/x
  3. Step 3: Cross multiply
    229,700.56x = 316,810.14 × 203,885.80
  4. Step 4: Simplify right side
    229,700.56x = 64,593,088,842.01
  5. Step 5: Solve for x
    x = 64,593,088,842.01/229,700.56
  6. Step 6: Final answer
    x = 281,205.62

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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.