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Finding the Fourth Proportional to 203,712.95, 280,954.30 and 152,838.57

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Solution

The fourth proportional to 203,712.95, 280,954.30 and 152,838.57 is: 210,790.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,712.95 : 280,954.30 = 152,838.57 : x
  2. Step 2: Convert to fraction form
    203,712.95/280,954.30 = 152,838.57/x
  3. Step 3: Cross multiply
    203,712.95x = 280,954.30 × 152,838.57
  4. Step 4: Simplify right side
    203,712.95x = 42,940,653,447.35
  5. Step 5: Solve for x
    x = 42,940,653,447.35/203,712.95
  6. Step 6: Final answer
    x = 210,790.00

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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.