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Finding the Fourth Proportional to 203,602.46, 280,984.69 and 117,565.07

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Solution

The fourth proportional to 203,602.46, 280,984.69 and 117,565.07 is: 162,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,602.46 : 280,984.69 = 117,565.07 : x
  2. Step 2: Convert to fraction form
    203,602.46/280,984.69 = 117,565.07/x
  3. Step 3: Cross multiply
    203,602.46x = 280,984.69 × 117,565.07
  4. Step 4: Simplify right side
    203,602.46x = 33,033,985,463.74
  5. Step 5: Solve for x
    x = 33,033,985,463.74/203,602.46
  6. Step 6: Final answer
    x = 162,247.47

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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.