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Finding the Fourth Proportional to 122,657.60, 183,986.40 and 38,424.80

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Solution

The fourth proportional to 122,657.60, 183,986.40 and 38,424.80 is: 57,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,657.60 : 183,986.40 = 38,424.80 : x
  2. Step 2: Convert to fraction form
    122,657.60/183,986.40 = 38,424.80/x
  3. Step 3: Cross multiply
    122,657.60x = 183,986.40 × 38,424.80
  4. Step 4: Simplify right side
    122,657.60x = 7,069,640,622.72
  5. Step 5: Solve for x
    x = 7,069,640,622.72/122,657.60
  6. Step 6: Final answer
    x = 57,637.20

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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.