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Finding the Fourth Proportional to 280,230.60, 420,297.30 and 102,646.20

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Solution

The fourth proportional to 280,230.60, 420,297.30 and 102,646.20 is: 153,951.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,230.60 : 420,297.30 = 102,646.20 : x
  2. Step 2: Convert to fraction form
    280,230.60/420,297.30 = 102,646.20/x
  3. Step 3: Cross multiply
    280,230.60x = 420,297.30 × 102,646.20
  4. Step 4: Simplify right side
    280,230.60x = 43,141,920,715.26
  5. Step 5: Solve for x
    x = 43,141,920,715.26/280,230.60
  6. Step 6: Final answer
    x = 153,951.50

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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.