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Finding the Fourth Proportional to 149,711.42, 224,719.60 and 74,885.60

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Solution

The fourth proportional to 149,711.42, 224,719.60 and 74,885.60 is: 112,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,711.42 : 224,719.60 = 74,885.60 : x
  2. Step 2: Convert to fraction form
    149,711.42/224,719.60 = 74,885.60/x
  3. Step 3: Cross multiply
    149,711.42x = 224,719.60 × 74,885.60
  4. Step 4: Simplify right side
    149,711.42x = 16,828,262,077.76
  5. Step 5: Solve for x
    x = 16,828,262,077.76/149,711.42
  6. Step 6: Final answer
    x = 112,404.67

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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.