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Finding the Fourth Proportional to 246,150, 369,260.64 and 77,613.12

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Solution

The fourth proportional to 246,150, 369,260.64 and 77,613.12 is: 116,430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,150 : 369,260.64 = 77,613.12 : x
  2. Step 2: Convert to fraction form
    246,150/369,260.64 = 77,613.12/x
  3. Step 3: Cross multiply
    246,150x = 369,260.64 × 77,613.12
  4. Step 4: Simplify right side
    246,150x = 28,659,470,363.60
  5. Step 5: Solve for x
    x = 28,659,470,363.60/246,150
  6. Step 6: Final answer
    x = 116,430.92

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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.