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Finding the Fourth Proportional to 149,513.76, 224,308.53 and 49,674.48

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Solution

The fourth proportional to 149,513.76, 224,308.53 and 49,674.48 is: 74,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,513.76 : 224,308.53 = 49,674.48 : x
  2. Step 2: Convert to fraction form
    149,513.76/224,308.53 = 49,674.48/x
  3. Step 3: Cross multiply
    149,513.76x = 224,308.53 × 49,674.48
  4. Step 4: Simplify right side
    149,513.76x = 11,142,408,746.16
  5. Step 5: Solve for x
    x = 11,142,408,746.16/149,513.76
  6. Step 6: Final answer
    x = 74,524.30

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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.