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Finding the Fourth Proportional to 284,111.64, 392,083.48 and 155,057.18

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Solution

The fourth proportional to 284,111.64, 392,083.48 and 155,057.18 is: 213,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,111.64 : 392,083.48 = 155,057.18 : x
  2. Step 2: Convert to fraction form
    284,111.64/392,083.48 = 155,057.18/x
  3. Step 3: Cross multiply
    284,111.64x = 392,083.48 × 155,057.18
  4. Step 4: Simplify right side
    284,111.64x = 60,795,358,733.39
  5. Step 5: Solve for x
    x = 60,795,358,733.39/284,111.64
  6. Step 6: Final answer
    x = 213,984.05

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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.