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Finding the Fourth Proportional to 194,807.84, 292,269.36 and 82,430.24

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Solution

The fourth proportional to 194,807.84, 292,269.36 and 82,430.24 is: 123,669.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,807.84 : 292,269.36 = 82,430.24 : x
  2. Step 2: Convert to fraction form
    194,807.84/292,269.36 = 82,430.24/x
  3. Step 3: Cross multiply
    194,807.84x = 292,269.36 × 82,430.24
  4. Step 4: Simplify right side
    194,807.84x = 24,091,833,489.45
  5. Step 5: Solve for x
    x = 24,091,833,489.45/194,807.84
  6. Step 6: Final answer
    x = 123,669.73

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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.