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Finding the Fourth Proportional to 192,580.96, 265,772.16 and 116,124.64

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Solution

The fourth proportional to 192,580.96, 265,772.16 and 116,124.64 is: 160,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,580.96 : 265,772.16 = 116,124.64 : x
  2. Step 2: Convert to fraction form
    192,580.96/265,772.16 = 116,124.64/x
  3. Step 3: Cross multiply
    192,580.96x = 265,772.16 × 116,124.64
  4. Step 4: Simplify right side
    192,580.96x = 30,862,696,402.02
  5. Step 5: Solve for x
    x = 30,862,696,402.02/192,580.96
  6. Step 6: Final answer
    x = 160,258.30

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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.