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Finding the Fourth Proportional to 230,871.60, 346,307.40 and 106,212.60

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Solution

The fourth proportional to 230,871.60, 346,307.40 and 106,212.60 is: 159,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,871.60 : 346,307.40 = 106,212.60 : x
  2. Step 2: Convert to fraction form
    230,871.60/346,307.40 = 106,212.60/x
  3. Step 3: Cross multiply
    230,871.60x = 346,307.40 × 106,212.60
  4. Step 4: Simplify right side
    230,871.60x = 36,782,209,353.24
  5. Step 5: Solve for x
    x = 36,782,209,353.24/230,871.60
  6. Step 6: Final answer
    x = 159,318.90

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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.