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Finding the Fourth Proportional to 232,871.40, 321,269.22 and 146,802.06

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Solution

The fourth proportional to 232,871.40, 321,269.22 and 146,802.06 is: 202,528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,871.40 : 321,269.22 = 146,802.06 : x
  2. Step 2: Convert to fraction form
    232,871.40/321,269.22 = 146,802.06/x
  3. Step 3: Cross multiply
    232,871.40x = 321,269.22 × 146,802.06
  4. Step 4: Simplify right side
    232,871.40x = 47,162,983,310.59
  5. Step 5: Solve for x
    x = 47,162,983,310.59/232,871.40
  6. Step 6: Final answer
    x = 202,528.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.