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Finding the Fourth Proportional to 258,322.29, 387,482.88 and 71,333.25

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Solution

The fourth proportional to 258,322.29, 387,482.88 and 71,333.25 is: 106,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,322.29 : 387,482.88 = 71,333.25 : x
  2. Step 2: Convert to fraction form
    258,322.29/387,482.88 = 71,333.25/x
  3. Step 3: Cross multiply
    258,322.29x = 387,482.88 × 71,333.25
  4. Step 4: Simplify right side
    258,322.29x = 27,640,413,149.76
  5. Step 5: Solve for x
    x = 27,640,413,149.76/258,322.29
  6. Step 6: Final answer
    x = 106,999.72

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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.