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Finding the Fourth Proportional to 520,053.10, 780,022.05 and 146,113.90

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Solution

The fourth proportional to 520,053.10, 780,022.05 and 146,113.90 is: 219,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,053.10 : 780,022.05 = 146,113.90 : x
  2. Step 2: Convert to fraction form
    520,053.10/780,022.05 = 146,113.90/x
  3. Step 3: Cross multiply
    520,053.10x = 780,022.05 × 146,113.90
  4. Step 4: Simplify right side
    520,053.10x = 113,972,063,811.50
  5. Step 5: Solve for x
    x = 113,972,063,811.50/520,053.10
  6. Step 6: Final answer
    x = 219,154.67

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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.