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Finding the Fourth Proportional to 204,048.80, 306,073.20 and 185,349.95

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Solution

The fourth proportional to 204,048.80, 306,073.20 and 185,349.95 is: 278,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,048.80 : 306,073.20 = 185,349.95 : x
  2. Step 2: Convert to fraction form
    204,048.80/306,073.20 = 185,349.95/x
  3. Step 3: Cross multiply
    204,048.80x = 306,073.20 × 185,349.95
  4. Step 4: Simplify right side
    204,048.80x = 56,730,652,316.34
  5. Step 5: Solve for x
    x = 56,730,652,316.34/204,048.80
  6. Step 6: Final answer
    x = 278,024.93

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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.