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Finding the Fourth Proportional to 216,076.60, 323,701.80 and 116,203.60

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Solution

The fourth proportional to 216,076.60, 323,701.80 and 116,203.60 is: 174,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,076.60 : 323,701.80 = 116,203.60 : x
  2. Step 2: Convert to fraction form
    216,076.60/323,701.80 = 116,203.60/x
  3. Step 3: Cross multiply
    216,076.60x = 323,701.80 × 116,203.60
  4. Step 4: Simplify right side
    216,076.60x = 37,615,314,486.48
  5. Step 5: Solve for x
    x = 37,615,314,486.48/216,076.60
  6. Step 6: Final answer
    x = 174,083.24

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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.