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Finding the Fourth Proportional to 194,783.16, 292,141.80 and 54,509.52

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Solution

The fourth proportional to 194,783.16, 292,141.80 and 54,509.52 is: 81,755.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,783.16 : 292,141.80 = 54,509.52 : x
  2. Step 2: Convert to fraction form
    194,783.16/292,141.80 = 54,509.52/x
  3. Step 3: Cross multiply
    194,783.16x = 292,141.80 × 54,509.52
  4. Step 4: Simplify right side
    194,783.16x = 15,924,509,289.94
  5. Step 5: Solve for x
    x = 15,924,509,289.94/194,783.16
  6. Step 6: Final answer
    x = 81,755.06

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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.