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Finding the Fourth Proportional to 258,878.64, 388,248.48 and 109,120.08

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Solution

The fourth proportional to 258,878.64, 388,248.48 and 109,120.08 is: 163,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,878.64 : 388,248.48 = 109,120.08 : x
  2. Step 2: Convert to fraction form
    258,878.64/388,248.48 = 109,120.08/x
  3. Step 3: Cross multiply
    258,878.64x = 388,248.48 × 109,120.08
  4. Step 4: Simplify right side
    258,878.64x = 42,365,705,197.48
  5. Step 5: Solve for x
    x = 42,365,705,197.48/258,878.64
  6. Step 6: Final answer
    x = 163,650.83

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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.