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Finding the Fourth Proportional to 234,429.12, 351,702 and 92,283.84

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Solution

The fourth proportional to 234,429.12, 351,702 and 92,283.84 is: 138,448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,429.12 : 351,702 = 92,283.84 : x
  2. Step 2: Convert to fraction form
    234,429.12/351,702 = 92,283.84/x
  3. Step 3: Cross multiply
    234,429.12x = 351,702 × 92,283.84
  4. Step 4: Simplify right side
    234,429.12x = 32,456,411,095.68
  5. Step 5: Solve for x
    x = 32,456,411,095.68/234,429.12
  6. Step 6: Final answer
    x = 138,448.72

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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.