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Finding the Fourth Proportional to 182,330.50, 251,624.73 and 102,842.50

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Solution

The fourth proportional to 182,330.50, 251,624.73 and 102,842.50 is: 141,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,330.50 : 251,624.73 = 102,842.50 : x
  2. Step 2: Convert to fraction form
    182,330.50/251,624.73 = 102,842.50/x
  3. Step 3: Cross multiply
    182,330.50x = 251,624.73 × 102,842.50
  4. Step 4: Simplify right side
    182,330.50x = 25,877,716,295.03
  5. Step 5: Solve for x
    x = 25,877,716,295.03/182,330.50
  6. Step 6: Final answer
    x = 141,927.52

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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.