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Finding the Fourth Proportional to 520,063.10, 780,037.05 and 146,123.90

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Solution

The fourth proportional to 520,063.10, 780,037.05 and 146,123.90 is: 219,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,063.10 : 780,037.05 = 146,123.90 : x
  2. Step 2: Convert to fraction form
    520,063.10/780,037.05 = 146,123.90/x
  3. Step 3: Cross multiply
    520,063.10x = 780,037.05 × 146,123.90
  4. Step 4: Simplify right side
    520,063.10x = 113,982,055,890.50
  5. Step 5: Solve for x
    x = 113,982,055,890.50/520,063.10
  6. Step 6: Final answer
    x = 219,169.67

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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.