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Finding the Fourth Proportional to 280,014.60, 420,021.90 and 102,462.60

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Solution

The fourth proportional to 280,014.60, 420,021.90 and 102,462.60 is: 153,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,014.60 : 420,021.90 = 102,462.60 : x
  2. Step 2: Convert to fraction form
    280,014.60/420,021.90 = 102,462.60/x
  3. Step 3: Cross multiply
    280,014.60x = 420,021.90 × 102,462.60
  4. Step 4: Simplify right side
    280,014.60x = 43,036,535,930.94
  5. Step 5: Solve for x
    x = 43,036,535,930.94/280,014.60
  6. Step 6: Final answer
    x = 153,693.90

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1.5x scale

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.