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Finding the Fourth Proportional to 502,181.14, 753,387.63 and 147,222.58

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Solution

The fourth proportional to 502,181.14, 753,387.63 and 147,222.58 is: 220,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,181.14 : 753,387.63 = 147,222.58 : x
  2. Step 2: Convert to fraction form
    502,181.14/753,387.63 = 147,222.58/x
  3. Step 3: Cross multiply
    502,181.14x = 753,387.63 × 147,222.58
  4. Step 4: Simplify right side
    502,181.14x = 110,915,670,628.69
  5. Step 5: Solve for x
    x = 110,915,670,628.69/502,181.14
  6. Step 6: Final answer
    x = 220,867.85

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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.