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Finding the Fourth Proportional to 204,521.76, 282,327.12 and 137,492.64

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Solution

The fourth proportional to 204,521.76, 282,327.12 and 137,492.64 is: 189,798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,521.76 : 282,327.12 = 137,492.64 : x
  2. Step 2: Convert to fraction form
    204,521.76/282,327.12 = 137,492.64/x
  3. Step 3: Cross multiply
    204,521.76x = 282,327.12 × 137,492.64
  4. Step 4: Simplify right side
    204,521.76x = 38,817,901,072.40
  5. Step 5: Solve for x
    x = 38,817,901,072.40/204,521.76
  6. Step 6: Final answer
    x = 189,798.39

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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.