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Finding the Fourth Proportional to 149,773.47, 224,549.24 and 70,795.41

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Solution

The fourth proportional to 149,773.47, 224,549.24 and 70,795.41 is: 106,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,773.47 : 224,549.24 = 70,795.41 : x
  2. Step 2: Convert to fraction form
    149,773.47/224,549.24 = 70,795.41/x
  3. Step 3: Cross multiply
    149,773.47x = 224,549.24 × 70,795.41
  4. Step 4: Simplify right side
    149,773.47x = 15,897,055,157.01
  5. Step 5: Solve for x
    x = 15,897,055,157.01/149,773.47
  6. Step 6: Final answer
    x = 106,140.66

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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.