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Finding the Fourth Proportional to 155,231.82, 232,774.02 and 70,966.98

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Solution

The fourth proportional to 155,231.82, 232,774.02 and 70,966.98 is: 106,416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,231.82 : 232,774.02 = 70,966.98 : x
  2. Step 2: Convert to fraction form
    155,231.82/232,774.02 = 70,966.98/x
  3. Step 3: Cross multiply
    155,231.82x = 232,774.02 × 70,966.98
  4. Step 4: Simplify right side
    155,231.82x = 16,519,269,221.86
  5. Step 5: Solve for x
    x = 16,519,269,221.86/155,231.82
  6. Step 6: Final answer
    x = 106,416.77

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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.