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Finding the Fourth Proportional to 232,492.80, 348,739.20 and 164,586.45

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Solution

The fourth proportional to 232,492.80, 348,739.20 and 164,586.45 is: 246,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,492.80 : 348,739.20 = 164,586.45 : x
  2. Step 2: Convert to fraction form
    232,492.80/348,739.20 = 164,586.45/x
  3. Step 3: Cross multiply
    232,492.80x = 348,739.20 × 164,586.45
  4. Step 4: Simplify right side
    232,492.80x = 57,397,746,903.84
  5. Step 5: Solve for x
    x = 57,397,746,903.84/232,492.80
  6. Step 6: Final answer
    x = 246,879.68

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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.