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Finding the Fourth Proportional to 180,744, 249,408.84 and 104,270.04

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Solution

The fourth proportional to 180,744, 249,408.84 and 104,270.04 is: 143,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,744 : 249,408.84 = 104,270.04 : x
  2. Step 2: Convert to fraction form
    180,744/249,408.84 = 104,270.04/x
  3. Step 3: Cross multiply
    180,744x = 249,408.84 × 104,270.04
  4. Step 4: Simplify right side
    180,744x = 26,005,869,723.15
  5. Step 5: Solve for x
    x = 26,005,869,723.15/180,744
  6. Step 6: Final answer
    x = 143,882.34

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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.