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Finding the Fourth Proportional to 148,602.73, 222,852.25 and 65,451.37

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Solution

The fourth proportional to 148,602.73, 222,852.25 and 65,451.37 is: 98,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,602.73 : 222,852.25 = 65,451.37 : x
  2. Step 2: Convert to fraction form
    148,602.73/222,852.25 = 65,451.37/x
  3. Step 3: Cross multiply
    148,602.73x = 222,852.25 × 65,451.37
  4. Step 4: Simplify right side
    148,602.73x = 14,585,985,070.08
  5. Step 5: Solve for x
    x = 14,585,985,070.08/148,602.73
  6. Step 6: Final answer
    x = 98,154.22

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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.