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Finding the Fourth Proportional to 148,982.64, 205,639.64 and 88,595.84

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Solution

The fourth proportional to 148,982.64, 205,639.64 and 88,595.84 is: 122,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,982.64 : 205,639.64 = 88,595.84 : x
  2. Step 2: Convert to fraction form
    148,982.64/205,639.64 = 88,595.84/x
  3. Step 3: Cross multiply
    148,982.64x = 205,639.64 × 88,595.84
  4. Step 4: Simplify right side
    148,982.64x = 18,218,816,643.10
  5. Step 5: Solve for x
    x = 18,218,816,643.10/148,982.64
  6. Step 6: Final answer
    x = 122,288.19

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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.