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Finding the Fourth Proportional to 242,755.60, 363,258.60 and 164,023.60

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Solution

The fourth proportional to 242,755.60, 363,258.60 and 164,023.60 is: 245,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,755.60 : 363,258.60 = 164,023.60 : x
  2. Step 2: Convert to fraction form
    242,755.60/363,258.60 = 164,023.60/x
  3. Step 3: Cross multiply
    242,755.60x = 363,258.60 × 164,023.60
  4. Step 4: Simplify right side
    242,755.60x = 59,582,983,302.96
  5. Step 5: Solve for x
    x = 59,582,983,302.96/242,755.60
  6. Step 6: Final answer
    x = 245,444.32

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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.