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Finding the Fourth Proportional to 194,827.92, 292,006.80 and 94,838.32

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Solution

The fourth proportional to 194,827.92, 292,006.80 and 94,838.32 is: 142,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,827.92 : 292,006.80 = 94,838.32 : x
  2. Step 2: Convert to fraction form
    194,827.92/292,006.80 = 94,838.32/x
  3. Step 3: Cross multiply
    194,827.92x = 292,006.80 × 94,838.32
  4. Step 4: Simplify right side
    194,827.92x = 27,693,434,340.58
  5. Step 5: Solve for x
    x = 27,693,434,340.58/194,827.92
  6. Step 6: Final answer
    x = 142,143.05

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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.