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Finding the Fourth Proportional to 174,938.40, 262,407.60 and 86,205.60

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Solution

The fourth proportional to 174,938.40, 262,407.60 and 86,205.60 is: 129,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,938.40 : 262,407.60 = 86,205.60 : x
  2. Step 2: Convert to fraction form
    174,938.40/262,407.60 = 86,205.60/x
  3. Step 3: Cross multiply
    174,938.40x = 262,407.60 × 86,205.60
  4. Step 4: Simplify right side
    174,938.40x = 22,621,004,602.56
  5. Step 5: Solve for x
    x = 22,621,004,602.56/174,938.40
  6. Step 6: Final answer
    x = 129,308.40

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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.