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Finding the Fourth Proportional to 230,966.70, 346,158.45 and 112,382.70

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Solution

The fourth proportional to 230,966.70, 346,158.45 and 112,382.70 is: 168,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,966.70 : 346,158.45 = 112,382.70 : x
  2. Step 2: Convert to fraction form
    230,966.70/346,158.45 = 112,382.70/x
  3. Step 3: Cross multiply
    230,966.70x = 346,158.45 × 112,382.70
  4. Step 4: Simplify right side
    230,966.70x = 38,902,221,238.82
  5. Step 5: Solve for x
    x = 38,902,221,238.82/230,966.70
  6. Step 6: Final answer
    x = 168,432.16

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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.