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Finding the Fourth Proportional to 238,188.64, 328,595.52 and 147,520.48

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Solution

The fourth proportional to 238,188.64, 328,595.52 and 147,520.48 is: 203,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,188.64 : 328,595.52 = 147,520.48 : x
  2. Step 2: Convert to fraction form
    238,188.64/328,595.52 = 147,520.48/x
  3. Step 3: Cross multiply
    238,188.64x = 328,595.52 × 147,520.48
  4. Step 4: Simplify right side
    238,188.64x = 48,474,568,836.25
  5. Step 5: Solve for x
    x = 48,474,568,836.25/238,188.64
  6. Step 6: Final answer
    x = 203,513.35

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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.