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Finding the Fourth Proportional to 181,201.60, 271,802.40 and 178,577.20

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Solution

The fourth proportional to 181,201.60, 271,802.40 and 178,577.20 is: 267,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,201.60 : 271,802.40 = 178,577.20 : x
  2. Step 2: Convert to fraction form
    181,201.60/271,802.40 = 178,577.20/x
  3. Step 3: Cross multiply
    181,201.60x = 271,802.40 × 178,577.20
  4. Step 4: Simplify right side
    181,201.60x = 48,537,711,545.28
  5. Step 5: Solve for x
    x = 48,537,711,545.28/181,201.60
  6. Step 6: Final answer
    x = 267,865.80

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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.