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Finding the Fourth Proportional to 194,825.92, 292,003.80 and 94,836.32

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Solution

The fourth proportional to 194,825.92, 292,003.80 and 94,836.32 is: 142,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,825.92 : 292,003.80 = 94,836.32 : x
  2. Step 2: Convert to fraction form
    194,825.92/292,003.80 = 94,836.32/x
  3. Step 3: Cross multiply
    194,825.92x = 292,003.80 × 94,836.32
  4. Step 4: Simplify right side
    194,825.92x = 27,692,565,818.02
  5. Step 5: Solve for x
    x = 27,692,565,818.02/194,825.92
  6. Step 6: Final answer
    x = 142,140.05

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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.