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Finding the Fourth Proportional to 142,674.60, 213,807.10 and 104,940.20

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Solution

The fourth proportional to 142,674.60, 213,807.10 and 104,940.20 is: 157,259.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,674.60 : 213,807.10 = 104,940.20 : x
  2. Step 2: Convert to fraction form
    142,674.60/213,807.10 = 104,940.20/x
  3. Step 3: Cross multiply
    142,674.60x = 213,807.10 × 104,940.20
  4. Step 4: Simplify right side
    142,674.60x = 22,436,959,835.42
  5. Step 5: Solve for x
    x = 22,436,959,835.42/142,674.60
  6. Step 6: Final answer
    x = 157,259.67

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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.