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Finding the Fourth Proportional to 148,322, 204,688.68 and 81,258.32

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Solution

The fourth proportional to 148,322, 204,688.68 and 81,258.32 is: 112,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,322 : 204,688.68 = 81,258.32 : x
  2. Step 2: Convert to fraction form
    148,322/204,688.68 = 81,258.32/x
  3. Step 3: Cross multiply
    148,322x = 204,688.68 × 81,258.32
  4. Step 4: Simplify right side
    148,322x = 16,632,658,259.82
  5. Step 5: Solve for x
    x = 16,632,658,259.82/148,322
  6. Step 6: Final answer
    x = 112,138.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.