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Finding the Fourth Proportional to 203,475, 280,795.50 and 114,051

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Solution

The fourth proportional to 203,475, 280,795.50 and 114,051 is: 157,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,475 : 280,795.50 = 114,051 : x
  2. Step 2: Convert to fraction form
    203,475/280,795.50 = 114,051/x
  3. Step 3: Cross multiply
    203,475x = 280,795.50 × 114,051
  4. Step 4: Simplify right side
    203,475x = 32,025,007,570.50
  5. Step 5: Solve for x
    x = 32,025,007,570.50/203,475
  6. Step 6: Final answer
    x = 157,390.38

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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.