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Finding the Fourth Proportional to 178,827.41, 268,199.51 and 66,560.51

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Solution

The fourth proportional to 178,827.41, 268,199.51 and 66,560.51 is: 99,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,827.41 : 268,199.51 = 66,560.51 : x
  2. Step 2: Convert to fraction form
    178,827.41/268,199.51 = 66,560.51/x
  3. Step 3: Cross multiply
    178,827.41x = 268,199.51 × 66,560.51
  4. Step 4: Simplify right side
    178,827.41x = 17,851,496,505.05
  5. Step 5: Solve for x
    x = 17,851,496,505.05/178,827.41
  6. Step 6: Final answer
    x = 99,825.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.