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Finding the Fourth Proportional to 153,465.20, 229,938.60 and 100,847.60

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Solution

The fourth proportional to 153,465.20, 229,938.60 and 100,847.60 is: 151,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,465.20 : 229,938.60 = 100,847.60 : x
  2. Step 2: Convert to fraction form
    153,465.20/229,938.60 = 100,847.60/x
  3. Step 3: Cross multiply
    153,465.20x = 229,938.60 × 100,847.60
  4. Step 4: Simplify right side
    153,465.20x = 23,188,755,957.36
  5. Step 5: Solve for x
    x = 23,188,755,957.36/153,465.20
  6. Step 6: Final answer
    x = 151,101.07

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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.