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Finding the Fourth Proportional to 227,966.64, 314,681.76 and 204,051.12

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Solution

The fourth proportional to 227,966.64, 314,681.76 and 204,051.12 is: 281,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,966.64 : 314,681.76 = 204,051.12 : x
  2. Step 2: Convert to fraction form
    227,966.64/314,681.76 = 204,051.12/x
  3. Step 3: Cross multiply
    227,966.64x = 314,681.76 × 204,051.12
  4. Step 4: Simplify right side
    227,966.64x = 64,211,165,571.57
  5. Step 5: Solve for x
    x = 64,211,165,571.57/227,966.64
  6. Step 6: Final answer
    x = 281,669.13

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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.