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Finding the Fourth Proportional to 205,862.40, 308,822.40 and 87,532.80

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Solution

The fourth proportional to 205,862.40, 308,822.40 and 87,532.80 is: 131,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,862.40 : 308,822.40 = 87,532.80 : x
  2. Step 2: Convert to fraction form
    205,862.40/308,822.40 = 87,532.80/x
  3. Step 3: Cross multiply
    205,862.40x = 308,822.40 × 87,532.80
  4. Step 4: Simplify right side
    205,862.40x = 27,032,089,374.72
  5. Step 5: Solve for x
    x = 27,032,089,374.72/205,862.40
  6. Step 6: Final answer
    x = 131,311.45

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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.