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Finding the Fourth Proportional to 180,930.60, 271,007.10 and 157,602.60

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Solution

The fourth proportional to 180,930.60, 271,007.10 and 157,602.60 is: 236,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,930.60 : 271,007.10 = 157,602.60 : x
  2. Step 2: Convert to fraction form
    180,930.60/271,007.10 = 157,602.60/x
  3. Step 3: Cross multiply
    180,930.60x = 271,007.10 × 157,602.60
  4. Step 4: Simplify right side
    180,930.60x = 42,711,423,578.46
  5. Step 5: Solve for x
    x = 42,711,423,578.46/180,930.60
  6. Step 6: Final answer
    x = 236,065.23

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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.