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Finding the Fourth Proportional to 174,308.53, 261,462.80 and 121,820.53

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Solution

The fourth proportional to 174,308.53, 261,462.80 and 121,820.53 is: 182,730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,308.53 : 261,462.80 = 121,820.53 : x
  2. Step 2: Convert to fraction form
    174,308.53/261,462.80 = 121,820.53/x
  3. Step 3: Cross multiply
    174,308.53x = 261,462.80 × 121,820.53
  4. Step 4: Simplify right side
    174,308.53x = 31,851,536,871.28
  5. Step 5: Solve for x
    x = 31,851,536,871.28/174,308.53
  6. Step 6: Final answer
    x = 182,730.80

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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.