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Finding the Fourth Proportional to 174,657.60, 261,986.40 and 49,982.40

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Solution

The fourth proportional to 174,657.60, 261,986.40 and 49,982.40 is: 74,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,657.60 : 261,986.40 = 49,982.40 : x
  2. Step 2: Convert to fraction form
    174,657.60/261,986.40 = 49,982.40/x
  3. Step 3: Cross multiply
    174,657.60x = 261,986.40 × 49,982.40
  4. Step 4: Simplify right side
    174,657.60x = 13,094,709,039.36
  5. Step 5: Solve for x
    x = 13,094,709,039.36/174,657.60
  6. Step 6: Final answer
    x = 74,973.60

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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.