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Finding the Fourth Proportional to 180,704.96, 249,380.77 and 100,132.28

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Solution

The fourth proportional to 180,704.96, 249,380.77 and 100,132.28 is: 138,186.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,704.96 : 249,380.77 = 100,132.28 : x
  2. Step 2: Convert to fraction form
    180,704.96/249,380.77 = 100,132.28/x
  3. Step 3: Cross multiply
    180,704.96x = 249,380.77 × 100,132.28
  4. Step 4: Simplify right side
    180,704.96x = 24,971,065,461.38
  5. Step 5: Solve for x
    x = 24,971,065,461.38/180,704.96
  6. Step 6: Final answer
    x = 138,186.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.