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Finding the Fourth Proportional to 149,938.04, 224,841 and 56,378

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Solution

The fourth proportional to 149,938.04, 224,841 and 56,378 is: 84,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,938.04 : 224,841 = 56,378 : x
  2. Step 2: Convert to fraction form
    149,938.04/224,841 = 56,378/x
  3. Step 3: Cross multiply
    149,938.04x = 224,841 × 56,378
  4. Step 4: Simplify right side
    149,938.04x = 12,676,085,898
  5. Step 5: Solve for x
    x = 12,676,085,898/149,938.04
  6. Step 6: Final answer
    x = 84,542.16

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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.