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Finding the Fourth Proportional to 113,781.60, 170,283.60 and 99,784.80

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Solution

The fourth proportional to 113,781.60, 170,283.60 and 99,784.80 is: 149,336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,781.60 : 170,283.60 = 99,784.80 : x
  2. Step 2: Convert to fraction form
    113,781.60/170,283.60 = 99,784.80/x
  3. Step 3: Cross multiply
    113,781.60x = 170,283.60 × 99,784.80
  4. Step 4: Simplify right side
    113,781.60x = 16,991,714,969.28
  5. Step 5: Solve for x
    x = 16,991,714,969.28/113,781.60
  6. Step 6: Final answer
    x = 149,336.23

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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.