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Finding the Fourth Proportional to 204,770.52, 282,586.14 and 114,123.96

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Solution

The fourth proportional to 204,770.52, 282,586.14 and 114,123.96 is: 157,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,770.52 : 282,586.14 = 114,123.96 : x
  2. Step 2: Convert to fraction form
    204,770.52/282,586.14 = 114,123.96/x
  3. Step 3: Cross multiply
    204,770.52x = 282,586.14 × 114,123.96
  4. Step 4: Simplify right side
    204,770.52x = 32,249,849,337.91
  5. Step 5: Solve for x
    x = 32,249,849,337.91/204,770.52
  6. Step 6: Final answer
    x = 157,492.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.