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Finding the Fourth Proportional to 149,377.70, 224,106.15 and 65,101.70

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Solution

The fourth proportional to 149,377.70, 224,106.15 and 65,101.70 is: 97,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,377.70 : 224,106.15 = 65,101.70 : x
  2. Step 2: Convert to fraction form
    149,377.70/224,106.15 = 65,101.70/x
  3. Step 3: Cross multiply
    149,377.70x = 224,106.15 × 65,101.70
  4. Step 4: Simplify right side
    149,377.70x = 14,589,691,345.46
  5. Step 5: Solve for x
    x = 14,589,691,345.46/149,377.70
  6. Step 6: Final answer
    x = 97,669.81

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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.