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Finding the Fourth Proportional to 176,396.56, 243,431.04 and 99,916

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Solution

The fourth proportional to 176,396.56, 243,431.04 and 99,916 is: 137,886.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,396.56 : 243,431.04 = 99,916 : x
  2. Step 2: Convert to fraction form
    176,396.56/243,431.04 = 99,916/x
  3. Step 3: Cross multiply
    176,396.56x = 243,431.04 × 99,916
  4. Step 4: Simplify right side
    176,396.56x = 24,322,655,792.64
  5. Step 5: Solve for x
    x = 24,322,655,792.64/176,396.56
  6. Step 6: Final answer
    x = 137,886.23

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Why These Related Problems?

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