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Finding the Fourth Proportional to 149,810.67, 224,748.41 and 44,638.11

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Solution

The fourth proportional to 149,810.67, 224,748.41 and 44,638.11 is: 66,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,810.67 : 224,748.41 = 44,638.11 : x
  2. Step 2: Convert to fraction form
    149,810.67/224,748.41 = 44,638.11/x
  3. Step 3: Cross multiply
    149,810.67x = 224,748.41 × 44,638.11
  4. Step 4: Simplify right side
    149,810.67x = 10,032,344,024.71
  5. Step 5: Solve for x
    x = 10,032,344,024.71/149,810.67
  6. Step 6: Final answer
    x = 66,966.82

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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.