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Finding the Fourth Proportional to 232,685.90, 348,942.66 and 82,886.40

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Solution

The fourth proportional to 232,685.90, 348,942.66 and 82,886.40 is: 124,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,685.90 : 348,942.66 = 82,886.40 : x
  2. Step 2: Convert to fraction form
    232,685.90/348,942.66 = 82,886.40/x
  3. Step 3: Cross multiply
    232,685.90x = 348,942.66 × 82,886.40
  4. Step 4: Simplify right side
    232,685.90x = 28,922,600,893.82
  5. Step 5: Solve for x
    x = 28,922,600,893.82/232,685.90
  6. Step 6: Final answer
    x = 124,298.90

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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.