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Finding the Fourth Proportional to 174,134.40, 260,683.20 and 103,977.60

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Solution

The fourth proportional to 174,134.40, 260,683.20 and 103,977.60 is: 155,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,134.40 : 260,683.20 = 103,977.60 : x
  2. Step 2: Convert to fraction form
    174,134.40/260,683.20 = 103,977.60/x
  3. Step 3: Cross multiply
    174,134.40x = 260,683.20 × 103,977.60
  4. Step 4: Simplify right side
    174,134.40x = 27,105,213,496.32
  5. Step 5: Solve for x
    x = 27,105,213,496.32/174,134.40
  6. Step 6: Final answer
    x = 155,656.86

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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.