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Finding the Fourth Proportional to 508,203.06, 762,222.80 and 148,289.41

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Solution

The fourth proportional to 508,203.06, 762,222.80 and 148,289.41 is: 222,410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,203.06 : 762,222.80 = 148,289.41 : x
  2. Step 2: Convert to fraction form
    508,203.06/762,222.80 = 148,289.41/x
  3. Step 3: Cross multiply
    508,203.06x = 762,222.80 × 148,289.41
  4. Step 4: Simplify right side
    508,203.06x = 113,029,564,933.35
  5. Step 5: Solve for x
    x = 113,029,564,933.35/508,203.06
  6. Step 6: Final answer
    x = 222,410.24

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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.